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In trapezoid ABCD below, diagonals$ {\overline {AC}} $ and$ {\overline {BD}} $ intersect at E. If $AE = 4$, $BE = 6$, $AB = 8$, and $DC = 24$, what is the length of$ {\overline {EC}} $?

A

$6$

B

$8$

C

$10$

D

$12$

E

$18$

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