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Finding the Fourth Proportional to 20,229.32, 30,348.84 and 6,188.78

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Solution

The fourth proportional to 20,229.32, 30,348.84 and 6,188.78 is: 9,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.32 : 30,348.84 = 6,188.78 : x
  2. Step 2: Convert to fraction form
    20,229.32/30,348.84 = 6,188.78/x
  3. Step 3: Cross multiply
    20,229.32x = 30,348.84 × 6,188.78
  4. Step 4: Simplify right side
    20,229.32x = 187,822,294.02
  5. Step 5: Solve for x
    x = 187,822,294.02/20,229.32
  6. Step 6: Final answer
    x = 9,284.66

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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.