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Finding the Fourth Proportional to 20,159.87, 30,229.42 and 9,057.03

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Solution

The fourth proportional to 20,159.87, 30,229.42 and 9,057.03 is: 13,580.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,159.87 : 30,229.42 = 9,057.03 : x
  2. Step 2: Convert to fraction form
    20,159.87/30,229.42 = 9,057.03/x
  3. Step 3: Cross multiply
    20,159.87x = 30,229.42 × 9,057.03
  4. Step 4: Simplify right side
    20,159.87x = 273,788,763.82
  5. Step 5: Solve for x
    x = 273,788,763.82/20,159.87
  6. Step 6: Final answer
    x = 13,580.88

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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.