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Finding the Fourth Proportional to 20,041.20, 30,045.78 and 9,505.92

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Solution

The fourth proportional to 20,041.20, 30,045.78 and 9,505.92 is: 14,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,041.20 : 30,045.78 = 9,505.92 : x
  2. Step 2: Convert to fraction form
    20,041.20/30,045.78 = 9,505.92/x
  3. Step 3: Cross multiply
    20,041.20x = 30,045.78 × 9,505.92
  4. Step 4: Simplify right side
    20,041.20x = 285,612,781.02
  5. Step 5: Solve for x
    x = 285,612,781.02/20,041.20
  6. Step 6: Final answer
    x = 14,251.28

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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.