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Finding the Fourth Proportional to 20,138.60, 30,213.98 and 6,287.72

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Solution

The fourth proportional to 20,138.60, 30,213.98 and 6,287.72 is: 9,433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.60 : 30,213.98 = 6,287.72 : x
  2. Step 2: Convert to fraction form
    20,138.60/30,213.98 = 6,287.72/x
  3. Step 3: Cross multiply
    20,138.60x = 30,213.98 × 6,287.72
  4. Step 4: Simplify right side
    20,138.60x = 189,977,046.33
  5. Step 5: Solve for x
    x = 189,977,046.33/20,138.60
  6. Step 6: Final answer
    x = 9,433.48

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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.