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, ['261', '6237', '3809', '1857']
12164

9, 9, ['V', 'x', '3763', '8367', '3369', '6695', 'p', 'P', 'L', 'g', 's', '5117', 'n', '5097', '2407', '6337', '5437', 'o', '3023', 'D', 'g']
0

2, 9, ['7111', '835', 'W', '6975', '4459', 'B', 'B', 'Z', 'o']

12269