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Finding the Fourth Proportional to 20,122.79, 30,174.46 and 8,432.87

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Solution

The fourth proportional to 20,122.79, 30,174.46 and 8,432.87 is: 12,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122.79 : 30,174.46 = 8,432.87 : x
  2. Step 2: Convert to fraction form
    20,122.79/30,174.46 = 8,432.87/x
  3. Step 3: Cross multiply
    20,122.79x = 30,174.46 × 8,432.87
  4. Step 4: Simplify right side
    20,122.79x = 254,457,126.55
  5. Step 5: Solve for x
    x = 254,457,126.55/20,122.79
  6. Step 6: Final answer
    x = 12,645.22

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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.