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Finding the Fourth Proportional to 27,832.68, 41,755.08 and 8,112.96

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Solution

The fourth proportional to 27,832.68, 41,755.08 and 8,112.96 is: 12,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.68 : 41,755.08 = 8,112.96 : x
  2. Step 2: Convert to fraction form
    27,832.68/41,755.08 = 8,112.96/x
  3. Step 3: Cross multiply
    27,832.68x = 41,755.08 × 8,112.96
  4. Step 4: Simplify right side
    27,832.68x = 338,757,293.84
  5. Step 5: Solve for x
    x = 338,757,293.84/27,832.68
  6. Step 6: Final answer
    x = 12,171.21

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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.