Kansas City Royals First-Place Elimination Scenario
Kansas City must win 27 more games (35 total) to avoid elimination from first place.
Here are the final standings in a scenario in which Kansas City finishes in first place with 35 wins:

Team             W	L	PCT	GB
Kansas City      35	127	0.216	0.00
Chicago          34	128	0.210	1.00
Cleveland        34	128	0.210	1.00
Minnesota        33	129	0.204	2.00
Detroit          33	129	0.204	2.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Cleveland        14	11	137	0.560	0.0
Minnesota        12	11	139	0.522	1.0
Detroit          12	12	138	0.500	1.5
Chicago          9	14	139	0.391	4.0
Kansas City      8	16	138	0.333	5.5

Next, we show how the remaining series of games plays out in the scenario:

Chicago currently has 0 win(s) against Cleveland and 0 loss(es).
Chicago wins 7 additional game(s) against Cleveland and loses 6.
Chicago wins the series 7 games to 6.
Chicago wins 0 additional game(s) against teams outside the division and loses 91.

Chicago currently has 0 win(s) against Detroit and 0 loss(es).
Chicago wins 5 additional game(s) against Detroit and loses 8.
Chicago loses the series 5 games to 8.
Chicago wins 0 additional game(s) against teams outside the division and loses 91.

Chicago currently has 2 win(s) against Kansas City and 2 loss(es).
Chicago wins 0 additional game(s) against Kansas City and loses 9.
Chicago loses the series 2 games to 11.
Chicago wins 0 additional game(s) against teams outside the division and loses 91.

Chicago currently has 0 win(s) against Minnesota and 0 loss(es).
Chicago wins 13 additional game(s) against Minnesota and loses 0.
Chicago wins the series 13 games to 0.
Chicago wins 0 additional game(s) against teams outside the division and loses 91.

Cleveland currently has 0 win(s) against Detroit and 0 loss(es).
Cleveland wins 6 additional game(s) against Detroit and loses 7.
Cleveland loses the series 6 games to 7.
Cleveland wins 0 additional game(s) against teams outside the division and loses 88.

Cleveland currently has 2 win(s) against Kansas City and 1 loss(es).
Cleveland wins 2 additional game(s) against Kansas City and loses 8.
Cleveland loses the series 4 games to 9.
Cleveland wins 0 additional game(s) against teams outside the division and loses 88.

Cleveland currently has 0 win(s) against Minnesota and 0 loss(es).
Cleveland wins 6 additional game(s) against Minnesota and loses 7.
Cleveland loses the series 6 games to 7.
Cleveland wins 0 additional game(s) against teams outside the division and loses 88.

Detroit currently has 3 win(s) against Kansas City and 0 loss(es).
Detroit wins 6 additional game(s) against Kansas City and loses 4.
Detroit wins the series 9 games to 4.
Detroit wins 0 additional game(s) against teams outside the division and loses 93.

Detroit currently has 0 win(s) against Minnesota and 4 loss(es).
Detroit wins 0 additional game(s) against Minnesota and loses 9.
Detroit loses the series 0 games to 13.
Detroit wins 0 additional game(s) against teams outside the division and loses 93.

Kansas City currently has 2 win(s) against Minnesota and 1 loss(es).
Kansas City wins 5 additional game(s) against Minnesota and loses 5.
Kansas City wins the series 7 games to 6.
Kansas City wins 1 additional game(s) against teams outside the division and loses 98.

# Kansas City Royals' magic number
# Kansas City's magic number
# Royals' magic number
# MLB Playoff Race