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Finding the Fourth Proportional to 20,171.64, 30,259.05 and 6,132.87

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Solution

The fourth proportional to 20,171.64, 30,259.05 and 6,132.87 is: 9,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.64 : 30,259.05 = 6,132.87 : x
  2. Step 2: Convert to fraction form
    20,171.64/30,259.05 = 6,132.87/x
  3. Step 3: Cross multiply
    20,171.64x = 30,259.05 × 6,132.87
  4. Step 4: Simplify right side
    20,171.64x = 185,574,819.97
  5. Step 5: Solve for x
    x = 185,574,819.97/20,171.64
  6. Step 6: Final answer
    x = 9,199.79

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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.