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Finding the Fourth Proportional to 23,796.73, 32,839 and 13,186.27

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Solution

The fourth proportional to 23,796.73, 32,839 and 13,186.27 is: 18,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796.73 : 32,839 = 13,186.27 : x
  2. Step 2: Convert to fraction form
    23,796.73/32,839 = 13,186.27/x
  3. Step 3: Cross multiply
    23,796.73x = 32,839 × 13,186.27
  4. Step 4: Simplify right side
    23,796.73x = 433,023,920.53
  5. Step 5: Solve for x
    x = 433,023,920.53/23,796.73
  6. Step 6: Final answer
    x = 18,196.78

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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.