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Finding the Fourth Proportional to 16,281.60, 22,472.27 and 9,210.30

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Solution

The fourth proportional to 16,281.60, 22,472.27 and 9,210.30 is: 12,712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.60 : 22,472.27 = 9,210.30 : x
  2. Step 2: Convert to fraction form
    16,281.60/22,472.27 = 9,210.30/x
  3. Step 3: Cross multiply
    16,281.60x = 22,472.27 × 9,210.30
  4. Step 4: Simplify right side
    16,281.60x = 206,976,348.38
  5. Step 5: Solve for x
    x = 206,976,348.38/16,281.60
  6. Step 6: Final answer
    x = 12,712.29

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Why These Related Problems?

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