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Finding the Fourth Proportional to 23,180.42, 34,761.90 and 8,385.68

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Solution

The fourth proportional to 23,180.42, 34,761.90 and 8,385.68 is: 12,575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,180.42 : 34,761.90 = 8,385.68 : x
  2. Step 2: Convert to fraction form
    23,180.42/34,761.90 = 8,385.68/x
  3. Step 3: Cross multiply
    23,180.42x = 34,761.90 × 8,385.68
  4. Step 4: Simplify right side
    23,180.42x = 291,502,169.59
  5. Step 5: Solve for x
    x = 291,502,169.59/23,180.42
  6. Step 6: Final answer
    x = 12,575.36

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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.