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Finding the Fourth Proportional to 20,218.75, 30,331.52 and 9,125.20

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Solution

The fourth proportional to 20,218.75, 30,331.52 and 9,125.20 is: 13,689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218.75 : 30,331.52 = 9,125.20 : x
  2. Step 2: Convert to fraction form
    20,218.75/30,331.52 = 9,125.20/x
  3. Step 3: Cross multiply
    20,218.75x = 30,331.52 × 9,125.20
  4. Step 4: Simplify right side
    20,218.75x = 276,781,186.30
  5. Step 5: Solve for x
    x = 276,781,186.30/20,218.75
  6. Step 6: Final answer
    x = 13,689.33

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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.