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Finding the Fourth Proportional to 22,351.98, 33,542.10 and 12,497.73

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Solution

The fourth proportional to 22,351.98, 33,542.10 and 12,497.73 is: 18,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,351.98 : 33,542.10 = 12,497.73 : x
  2. Step 2: Convert to fraction form
    22,351.98/33,542.10 = 12,497.73/x
  3. Step 3: Cross multiply
    22,351.98x = 33,542.10 × 12,497.73
  4. Step 4: Simplify right side
    22,351.98x = 419,200,109.43
  5. Step 5: Solve for x
    x = 419,200,109.43/22,351.98
  6. Step 6: Final answer
    x = 18,754.50

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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.