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Finding the Fourth Proportional to 22,039.67, 33,044.82 and 7,997.88

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Solution

The fourth proportional to 22,039.67, 33,044.82 and 7,997.88 is: 11,991.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,039.67 : 33,044.82 = 7,997.88 : x
  2. Step 2: Convert to fraction form
    22,039.67/33,044.82 = 7,997.88/x
  3. Step 3: Cross multiply
    22,039.67x = 33,044.82 × 7,997.88
  4. Step 4: Simplify right side
    22,039.67x = 264,288,504.98
  5. Step 5: Solve for x
    x = 264,288,504.98/22,039.67
  6. Step 6: Final answer
    x = 11,991.49

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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.