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Finding the Fourth Proportional to 13,037.31, 17,974.58 and 8,313.39

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Solution

The fourth proportional to 13,037.31, 17,974.58 and 8,313.39 is: 11,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.31 : 17,974.58 = 8,313.39 : x
  2. Step 2: Convert to fraction form
    13,037.31/17,974.58 = 8,313.39/x
  3. Step 3: Cross multiply
    13,037.31x = 17,974.58 × 8,313.39
  4. Step 4: Simplify right side
    13,037.31x = 149,429,652.06
  5. Step 5: Solve for x
    x = 149,429,652.06/13,037.31
  6. Step 6: Final answer
    x = 11,461.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.