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Finding the Fourth Proportional to 20,565.14, 30,842.85 and 9,464.90

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Solution

The fourth proportional to 20,565.14, 30,842.85 and 9,464.90 is: 14,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.14 : 30,842.85 = 9,464.90 : x
  2. Step 2: Convert to fraction form
    20,565.14/30,842.85 = 9,464.90/x
  3. Step 3: Cross multiply
    20,565.14x = 30,842.85 × 9,464.90
  4. Step 4: Simplify right side
    20,565.14x = 291,924,490.97
  5. Step 5: Solve for x
    x = 291,924,490.97/20,565.14
  6. Step 6: Final answer
    x = 14,195.11

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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.