Detroit Tigers First-Place Eliminiation Scenario
Detroit must win 17 more games (32 total) to avoid elimination from first place.
Here are the final standings in a scenario in which Detroit finishes in first place with 32 wins:

Team             W	L	PCT	GB
Detroit          32	130	0.198	0.00
Chicago          31	131	0.191	1.00
Minnesota        31	131	0.191	1.00
Cleveland        31	131	0.191	1.00
Kansas City      31	131	0.191	1.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Detroit          15	10	137	0.600	0.0
Cleveland        14	10	138	0.583	0.5
Kansas City      10	14	138	0.417	4.5
Minnesota        9	15	138	0.375	5.5
Chicago          5	19	138	0.208	9.5

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

Chicago currently has 0 win(s) against Cleveland and 3 loss(es).
Chicago wins 5 additional game(s) against Cleveland and loses 5.
Chicago loses the series 5 games to 8.
Chicago wins 0 additional game(s) against teams outside the division and loses 97.

Chicago currently has 0 win(s) against Detroit and 3 loss(es).
Chicago wins 6 additional game(s) against Detroit and loses 4.
Chicago loses the series 6 games to 7.
Chicago wins 0 additional game(s) against teams outside the division and loses 97.

Chicago currently has 0 win(s) against Kansas City and 0 loss(es).
Chicago wins 7 additional game(s) against Kansas City and loses 6.
Chicago wins the series 7 games to 6.
Chicago wins 0 additional game(s) against teams outside the division and loses 97.

Chicago currently has 1 win(s) against Minnesota and 4 loss(es).
Chicago wins 8 additional game(s) against Minnesota and loses 0.
Chicago wins the series 9 games to 4.
Chicago wins 0 additional game(s) against teams outside the division and loses 97.

Cleveland currently has 0 win(s) against Detroit and 0 loss(es).
Cleveland wins 10 additional game(s) against Detroit and loses 3.
Cleveland wins the series 10 games to 3.
Cleveland wins 0 additional game(s) against teams outside the division and loses 95.

Cleveland currently has 4 win(s) against Kansas City and 2 loss(es).
Cleveland wins 0 additional game(s) against Kansas City and loses 7.
Cleveland loses the series 4 games to 9.
Cleveland wins 0 additional game(s) against teams outside the division and loses 95.

Cleveland currently has 0 win(s) against Minnesota and 0 loss(es).
Cleveland wins 2 additional game(s) against Minnesota and loses 11.
Cleveland loses the series 2 games to 11.
Cleveland wins 0 additional game(s) against teams outside the division and loses 95.

Detroit currently has 3 win(s) against Kansas City and 1 loss(es).
Detroit wins 4 additional game(s) against Kansas City and loses 5.
Detroit wins the series 7 games to 6.
Detroit wins 1 additional game(s) against teams outside the division and loses 94.

Detroit currently has 2 win(s) against Minnesota and 1 loss(es).
Detroit wins 5 additional game(s) against Minnesota and loses 5.
Detroit wins the series 7 games to 6.
Detroit wins 1 additional game(s) against teams outside the division and loses 94.

Kansas City currently has 3 win(s) against Minnesota and 1 loss(es).
Kansas City wins 3 additional game(s) against Minnesota and loses 6.
Kansas City loses the series 6 games to 7.
Kansas City wins 0 additional game(s) against teams outside the division and loses 100.

# Detroit Tigers' magic number
# Detroit's magic number
# Tigers' magic number
# MLB Playoff Race