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Finding the Fourth Proportional to 17,778.15, 24,536.79 and 13,543.20

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Solution

The fourth proportional to 17,778.15, 24,536.79 and 13,543.20 is: 18,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.15 : 24,536.79 = 13,543.20 : x
  2. Step 2: Convert to fraction form
    17,778.15/24,536.79 = 13,543.20/x
  3. Step 3: Cross multiply
    17,778.15x = 24,536.79 × 13,543.20
  4. Step 4: Simplify right side
    17,778.15x = 332,306,654.33
  5. Step 5: Solve for x
    x = 332,306,654.33/17,778.15
  6. Step 6: Final answer
    x = 18,691.86

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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.