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Finding the Fourth Proportional to 20,314.29, 30,475.24 and 9,221.75

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Solution

The fourth proportional to 20,314.29, 30,475.24 and 9,221.75 is: 13,834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314.29 : 30,475.24 = 9,221.75 : x
  2. Step 2: Convert to fraction form
    20,314.29/30,475.24 = 9,221.75/x
  3. Step 3: Cross multiply
    20,314.29x = 30,475.24 × 9,221.75
  4. Step 4: Simplify right side
    20,314.29x = 281,035,044.47
  5. Step 5: Solve for x
    x = 281,035,044.47/20,314.29
  6. Step 6: Final answer
    x = 13,834.35

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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.