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Finding the Fourth Proportional to 22,098.96, 33,151.68 and 12,744

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Solution

The fourth proportional to 22,098.96, 33,151.68 and 12,744 is: 19,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098.96 : 33,151.68 = 12,744 : x
  2. Step 2: Convert to fraction form
    22,098.96/33,151.68 = 12,744/x
  3. Step 3: Cross multiply
    22,098.96x = 33,151.68 × 12,744
  4. Step 4: Simplify right side
    22,098.96x = 422,485,009.92
  5. Step 5: Solve for x
    x = 422,485,009.92/22,098.96
  6. Step 6: Final answer
    x = 19,117.87

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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.