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Finding the Fourth Proportional to 22,508.92, 33,744.22 and 13,749.99

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Solution

The fourth proportional to 22,508.92, 33,744.22 and 13,749.99 is: 20,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,508.92 : 33,744.22 = 13,749.99 : x
  2. Step 2: Convert to fraction form
    22,508.92/33,744.22 = 13,749.99/x
  3. Step 3: Cross multiply
    22,508.92x = 33,744.22 × 13,749.99
  4. Step 4: Simplify right side
    22,508.92x = 463,982,687.56
  5. Step 5: Solve for x
    x = 463,982,687.56/22,508.92
  6. Step 6: Final answer
    x = 20,613.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.