Find the missing term in the series:
\[
\frac{1}{3},\;1\frac{1}{3},\;2\frac{5}{6},\;4\frac{5}{6},\;7\frac{1}{3},\;\_\_\_,\;13\frac{5}{6},\;17\frac{5}{6},\;22\frac{1}{3}
\]
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For mixed-fraction series, convert them into improper fractions first. Difference patterns become much easier to identify.