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21 problems match “arithmetic mean”. Clear

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21. Maximum smallest ball in bowl Jia ●●●●○ 100 ptsPlace the 27 balls numbered $1$ to $27$ into three bowls, Jia, Yi and Bing, so that the average ball number in bowl Jia is $15$, in bowl Yi is $3$, and in bowl Bing is $18$, and each bowl contains at least $4$ balls. Find the maximum possible value of the smallest ball number in bowl Jia.

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