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Finding the Fourth Proportional to 23,234.52, 34,851.82 and 9,197.85

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Solution

The fourth proportional to 23,234.52, 34,851.82 and 9,197.85 is: 13,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234.52 : 34,851.82 = 9,197.85 : x
  2. Step 2: Convert to fraction form
    23,234.52/34,851.82 = 9,197.85/x
  3. Step 3: Cross multiply
    23,234.52x = 34,851.82 × 9,197.85
  4. Step 4: Simplify right side
    23,234.52x = 320,561,937.53
  5. Step 5: Solve for x
    x = 320,561,937.53/23,234.52
  6. Step 6: Final answer
    x = 13,796.80

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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.