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Finding the Fourth Proportional to 12,593.78, 18,854.19 and 9,486.87

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Solution

The fourth proportional to 12,593.78, 18,854.19 and 9,486.87 is: 14,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.78 : 18,854.19 = 9,486.87 : x
  2. Step 2: Convert to fraction form
    12,593.78/18,854.19 = 9,486.87/x
  3. Step 3: Cross multiply
    12,593.78x = 18,854.19 × 9,486.87
  4. Step 4: Simplify right side
    12,593.78x = 178,867,320.34
  5. Step 5: Solve for x
    x = 178,867,320.34/12,593.78
  6. Step 6: Final answer
    x = 14,202.83

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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.