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Finding the Fourth Proportional to 27,833.99, 41,757.89 and 8,112.71

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Solution

The fourth proportional to 27,833.99, 41,757.89 and 8,112.71 is: 12,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.99 : 41,757.89 = 8,112.71 : x
  2. Step 2: Convert to fraction form
    27,833.99/41,757.89 = 8,112.71/x
  3. Step 3: Cross multiply
    27,833.99x = 41,757.89 × 8,112.71
  4. Step 4: Simplify right side
    27,833.99x = 338,769,402.43
  5. Step 5: Solve for x
    x = 338,769,402.43/27,833.99
  6. Step 6: Final answer
    x = 12,171.07

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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.