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Finding the Fourth Proportional to 16,037.50, 22,132.15 and 8,965.10

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Solution

The fourth proportional to 16,037.50, 22,132.15 and 8,965.10 is: 12,372.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,037.50 : 22,132.15 = 8,965.10 : x
  2. Step 2: Convert to fraction form
    16,037.50/22,132.15 = 8,965.10/x
  3. Step 3: Cross multiply
    16,037.50x = 22,132.15 × 8,965.10
  4. Step 4: Simplify right side
    16,037.50x = 198,416,937.97
  5. Step 5: Solve for x
    x = 198,416,937.97/16,037.50
  6. Step 6: Final answer
    x = 12,372.06

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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.