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, 3, ['e', '1703', 'x', 'U', '873']
1703

3, 6, ['w', 'V', '7413', '5027', 's', '7037', 'S', '763', 'D', 'U', 'x', 'l', '9331', 'S', 'k', '8369', 'D', 'A', 'e', 'A', 'r', '5113', '1367', '4197', 'm']
19477

5, 8, ['j', '1099', 'J', 'l', 'E', '6559', '6181', '4441']

17181