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Finding the Fourth Proportional to 20,124.78, 30,177.46 and 8,434.86

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Solution

The fourth proportional to 20,124.78, 30,177.46 and 8,434.86 is: 12,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124.78 : 30,177.46 = 8,434.86 : x
  2. Step 2: Convert to fraction form
    20,124.78/30,177.46 = 8,434.86/x
  3. Step 3: Cross multiply
    20,124.78x = 30,177.46 × 8,434.86
  4. Step 4: Simplify right side
    20,124.78x = 254,542,650.26
  5. Step 5: Solve for x
    x = 254,542,650.26/20,124.78
  6. Step 6: Final answer
    x = 12,648.22

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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.