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.

3, 4, ['1809', '1127', 'm', '3137']
3137

4, 8, ['V', 'd', 'c', '9255', 'A', '2017', '4525', '4237']
20034

7, 13, ['425', '5061', '6929', 'h', 'Y', 'W', '6435', 'r', 'Z', '8569', 'Y', 'I', 'd', '2929']

15004