KansasCity has been eliminated from first place.

To show that KansasCity is eliminated from first place, we start with the current standings:
            Team	W	L	GL	PCT	GB
       Cleveland	79	75	8	0.513	0.0
 ChicagoWhiteSox	78	76	8	0.506	1.0
         Detroit	73	81	8	0.474	6.0
       Minnesota	72	82	8	0.468	7.0
      KansasCity	67	87	8	0.435	12.0
           Total	369	401	40

KansasCity can finish the season with at most 67 + 8 = 75 wins and will finish the season behind the following teams:
Cleveland has already won 79 games.
ChicagoWhiteSox has already won 78 games.
# KansasCity Royals' magic number
# KansasCity's magic number
# Royals' magic number
# MLB Playoff Race