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Finding the Fourth Proportional to 22,744.97, 34,110.97 and 14,412.41

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Solution

The fourth proportional to 22,744.97, 34,110.97 and 14,412.41 is: 21,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,744.97 : 34,110.97 = 14,412.41 : x
  2. Step 2: Convert to fraction form
    22,744.97/34,110.97 = 14,412.41/x
  3. Step 3: Cross multiply
    22,744.97x = 34,110.97 × 14,412.41
  4. Step 4: Simplify right side
    22,744.97x = 491,621,042.52
  5. Step 5: Solve for x
    x = 491,621,042.52/22,744.97
  6. Step 6: Final answer
    x = 21,614.50

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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.