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Finding the Fourth Proportional to 23,839, 32,896.92 and 13,227.88

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Solution

The fourth proportional to 23,839, 32,896.92 and 13,227.88 is: 18,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,839 : 32,896.92 = 13,227.88 : x
  2. Step 2: Convert to fraction form
    23,839/32,896.92 = 13,227.88/x
  3. Step 3: Cross multiply
    23,839x = 32,896.92 × 13,227.88
  4. Step 4: Simplify right side
    23,839x = 435,156,510.13
  5. Step 5: Solve for x
    x = 435,156,510.13/23,839
  6. Step 6: Final answer
    x = 18,253.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.