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Finding the Fourth Proportional to 20,165.60, 30,254.56 and 10,311.80

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Solution

The fourth proportional to 20,165.60, 30,254.56 and 10,311.80 is: 15,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.60 : 30,254.56 = 10,311.80 : x
  2. Step 2: Convert to fraction form
    20,165.60/30,254.56 = 10,311.80/x
  3. Step 3: Cross multiply
    20,165.60x = 30,254.56 × 10,311.80
  4. Step 4: Simplify right side
    20,165.60x = 311,979,021.66
  5. Step 5: Solve for x
    x = 311,979,021.66/20,165.60
  6. Step 6: Final answer
    x = 15,470.85

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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.