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, 15, ['t', '77', '6593', '3683', '5673', '9391', 'Y', 'A', '3273', '379', '6569', 'l', 'u', '8633', 'M', '8587', '3127', '5885', '4083']
44271

4, 6, ['4301', 'a', 'E', '3709', '5105', 'B']
8814

3, 4, ['G', '8359', 'e', '8993', '5583', 'L', 'm', '3419', 'K']

8993