Definition: 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.
Input: 4, 12, ['181', '6077', 'H', 'i', '1719', '7653', 'P', 'L', 'p', 'e', 'a', 'h', '8761', '4431', 'a', '3779', '8211', 'F', '8187', 'Y', 'o', 'X', '1361']

9372