In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.

1, 7, ['173', '5875', 'C', '7417', '3565', '1949', '537', '7707', 'o', 'y']
19516

3, 4, ['2425', 'J', 'x', '8829', 't', '7927', 'R', 'J', '1599', '3149']
8829

2, 8, ['3651', '6881', '3701', 'M', '8543', '5995', 'q', 'A', 'S', '745']

25120