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Finding the Fourth Proportional to 16,472.76, 22,732.32 and 8,919

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Solution

The fourth proportional to 16,472.76, 22,732.32 and 8,919 is: 12,308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,472.76 : 22,732.32 = 8,919 : x
  2. Step 2: Convert to fraction form
    16,472.76/22,732.32 = 8,919/x
  3. Step 3: Cross multiply
    16,472.76x = 22,732.32 × 8,919
  4. Step 4: Simplify right side
    16,472.76x = 202,749,562.08
  5. Step 5: Solve for x
    x = 202,749,562.08/16,472.76
  6. Step 6: Final answer
    x = 12,308.17

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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.