Use reasoning to lead to the answer of the following question:
Napoleon has 17 jelly beans and Sedrich has 4 more jelly beans than Napoleon. If twice the sum of Napoleon and Sedrich's jelly beans is 4 times the number of jelly beans that Mikey has, how many jelly beans does Mikey have?

19
Sedrich has 17 + 4 = 21 jelly beans.

The sum of Napoleon and Sedrich's jelly beans is 17 + 21 = 38 jelly beans.

Twice the sum is 38 x 2 = 76 jelly beans.

Mikey has 76 / 4 = 19 jelly beans.

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Therefore, the answer is 19