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Finding the Fourth Proportional to 21,023.38, 31,520.49 and 9,920.71

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Solution

The fourth proportional to 21,023.38, 31,520.49 and 9,920.71 is: 14,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,023.38 : 31,520.49 = 9,920.71 : x
  2. Step 2: Convert to fraction form
    21,023.38/31,520.49 = 9,920.71/x
  3. Step 3: Cross multiply
    21,023.38x = 31,520.49 × 9,920.71
  4. Step 4: Simplify right side
    21,023.38x = 312,705,640.35
  5. Step 5: Solve for x
    x = 312,705,640.35/21,023.38
  6. Step 6: Final answer
    x = 14,874.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.