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Finding the Fourth Proportional to 12,593.14, 18,874.53 and 5,565.20

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Solution

The fourth proportional to 12,593.14, 18,874.53 and 5,565.20 is: 8,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.14 : 18,874.53 = 5,565.20 : x
  2. Step 2: Convert to fraction form
    12,593.14/18,874.53 = 5,565.20/x
  3. Step 3: Cross multiply
    12,593.14x = 18,874.53 × 5,565.20
  4. Step 4: Simplify right side
    12,593.14x = 105,040,439.98
  5. Step 5: Solve for x
    x = 105,040,439.98/12,593.14
  6. Step 6: Final answer
    x = 8,341.09

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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.