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Finding the Fourth Proportional to 20,199.78, 30,304.53 and 6,348.78

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Solution

The fourth proportional to 20,199.78, 30,304.53 and 6,348.78 is: 9,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.78 : 30,304.53 = 6,348.78 : x
  2. Step 2: Convert to fraction form
    20,199.78/30,304.53 = 6,348.78/x
  3. Step 3: Cross multiply
    20,199.78x = 30,304.53 × 6,348.78
  4. Step 4: Simplify right side
    20,199.78x = 192,396,793.97
  5. Step 5: Solve for x
    x = 192,396,793.97/20,199.78
  6. Step 6: Final answer
    x = 9,524.70

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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.