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Finding the Fourth Proportional to 22,542.50, 33,834.17 and 12,021.35

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Solution

The fourth proportional to 22,542.50, 33,834.17 and 12,021.35 is: 18,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,542.50 : 33,834.17 = 12,021.35 : x
  2. Step 2: Convert to fraction form
    22,542.50/33,834.17 = 12,021.35/x
  3. Step 3: Cross multiply
    22,542.50x = 33,834.17 × 12,021.35
  4. Step 4: Simplify right side
    22,542.50x = 406,732,260.41
  5. Step 5: Solve for x
    x = 406,732,260.41/22,542.50
  6. Step 6: Final answer
    x = 18,042.91

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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.