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, 4, ['2025', '6689', '1227', '3943', 'z', '719', '8941', 'b', 'V', 'w', '5267', '2403', 'N', '5771']
13884

3, 5, ['c', '9619', 'e', 'A', '5045', '2453', 'L', '553', '5493', '5657']
5045

10, 14, ['o', '3439', '3055', 't', 'L', '127', '4367', '2947', 'z', '8713', '1393', '5167', 'O', 'b', 'V', '427', 'H', 'C', 'r']

15273