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, 6, ['8527', '3499', 'M', 'f', 'V', 'B']
12026

3, 5, ['b', 'a', 't', 'l', '8337', 'L', '913', 'O', '1009', '3615', 'u', 'E', 'Y', 'h', '51', '1673']
8337

3, 3, ['6201', '4079', '589']

589