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Finding the Fourth Proportional to 20,118.38, 30,154.98 and 9,449.96

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Solution

The fourth proportional to 20,118.38, 30,154.98 and 9,449.96 is: 14,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,118.38 : 30,154.98 = 9,449.96 : x
  2. Step 2: Convert to fraction form
    20,118.38/30,154.98 = 9,449.96/x
  3. Step 3: Cross multiply
    20,118.38x = 30,154.98 × 9,449.96
  4. Step 4: Simplify right side
    20,118.38x = 284,963,354.80
  5. Step 5: Solve for x
    x = 284,963,354.80/20,118.38
  6. Step 6: Final answer
    x = 14,164.33

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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.