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Finding the Fourth Proportional to 16,037.70, 22,132.50 and 8,964.14

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Solution

The fourth proportional to 16,037.70, 22,132.50 and 8,964.14 is: 12,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,037.70 : 22,132.50 = 8,964.14 : x
  2. Step 2: Convert to fraction form
    16,037.70/22,132.50 = 8,964.14/x
  3. Step 3: Cross multiply
    16,037.70x = 22,132.50 × 8,964.14
  4. Step 4: Simplify right side
    16,037.70x = 198,398,828.55
  5. Step 5: Solve for x
    x = 198,398,828.55/16,037.70
  6. Step 6: Final answer
    x = 12,370.78

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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.