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Finding the Fourth Proportional to 20,542.80, 30,805.20 and 9,445.80

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Solution

The fourth proportional to 20,542.80, 30,805.20 and 9,445.80 is: 14,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542.80 : 30,805.20 = 9,445.80 : x
  2. Step 2: Convert to fraction form
    20,542.80/30,805.20 = 9,445.80/x
  3. Step 3: Cross multiply
    20,542.80x = 30,805.20 × 9,445.80
  4. Step 4: Simplify right side
    20,542.80x = 290,979,758.16
  5. Step 5: Solve for x
    x = 290,979,758.16/20,542.80
  6. Step 6: Final answer
    x = 14,164.56

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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.