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Finding the Fourth Proportional to 18,105.71, 27,143.96 and 6,412.55

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Solution

The fourth proportional to 18,105.71, 27,143.96 and 6,412.55 is: 9,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,105.71 : 27,143.96 = 6,412.55 : x
  2. Step 2: Convert to fraction form
    18,105.71/27,143.96 = 6,412.55/x
  3. Step 3: Cross multiply
    18,105.71x = 27,143.96 × 6,412.55
  4. Step 4: Simplify right side
    18,105.71x = 174,061,832.92
  5. Step 5: Solve for x
    x = 174,061,832.92/18,105.71
  6. Step 6: Final answer
    x = 9,613.65

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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.