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Finding the Fourth Proportional to 20,144.74, 30,227.01 and 9,059.26

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Solution

The fourth proportional to 20,144.74, 30,227.01 and 9,059.26 is: 13,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.74 : 30,227.01 = 9,059.26 : x
  2. Step 2: Convert to fraction form
    20,144.74/30,227.01 = 9,059.26/x
  3. Step 3: Cross multiply
    20,144.74x = 30,227.01 × 9,059.26
  4. Step 4: Simplify right side
    20,144.74x = 273,834,342.61
  5. Step 5: Solve for x
    x = 273,834,342.61/20,144.74
  6. Step 6: Final answer
    x = 13,593.34

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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.