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Finding the Fourth Proportional to 20,294.64, 30,439.80 and 9,618.42

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Solution

The fourth proportional to 20,294.64, 30,439.80 and 9,618.42 is: 14,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,294.64 : 30,439.80 = 9,618.42 : x
  2. Step 2: Convert to fraction form
    20,294.64/30,439.80 = 9,618.42/x
  3. Step 3: Cross multiply
    20,294.64x = 30,439.80 × 9,618.42
  4. Step 4: Simplify right side
    20,294.64x = 292,782,781.12
  5. Step 5: Solve for x
    x = 292,782,781.12/20,294.64
  6. Step 6: Final answer
    x = 14,426.61

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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.