Fill in a natural number in the brackets of the inequality (5/22)<(23/(()))<(4/17) so that the inequality sign holds. How many different filling methods are there?
在不等式(5/22)＜(23/(()))＜(4/17)的括号中填入一个自然数，使得不等号成立，一共有多少种不同的填法？
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