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Finding the Fourth Proportional to 17,493.86, 26,218.87 and 13,781.41

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Solution

The fourth proportional to 17,493.86, 26,218.87 and 13,781.41 is: 20,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,493.86 : 26,218.87 = 13,781.41 : x
  2. Step 2: Convert to fraction form
    17,493.86/26,218.87 = 13,781.41/x
  3. Step 3: Cross multiply
    17,493.86x = 26,218.87 × 13,781.41
  4. Step 4: Simplify right side
    17,493.86x = 361,332,997.21
  5. Step 5: Solve for x
    x = 361,332,997.21/17,493.86
  6. Step 6: Final answer
    x = 20,654.85

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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.