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Finding the Fourth Proportional to 20,177.88, 30,294.90 and 10,323.96

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Solution

The fourth proportional to 20,177.88, 30,294.90 and 10,323.96 is: 15,500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.88 : 30,294.90 = 10,323.96 : x
  2. Step 2: Convert to fraction form
    20,177.88/30,294.90 = 10,323.96/x
  3. Step 3: Cross multiply
    20,177.88x = 30,294.90 × 10,323.96
  4. Step 4: Simplify right side
    20,177.88x = 312,763,335.80
  5. Step 5: Solve for x
    x = 312,763,335.80/20,177.88
  6. Step 6: Final answer
    x = 15,500.31

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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.