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Finding the Fourth Proportional to 22,514, 33,747.96 and 9,374

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Solution

The fourth proportional to 22,514, 33,747.96 and 9,374 is: 14,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514 : 33,747.96 = 9,374 : x
  2. Step 2: Convert to fraction form
    22,514/33,747.96 = 9,374/x
  3. Step 3: Cross multiply
    22,514x = 33,747.96 × 9,374
  4. Step 4: Simplify right side
    22,514x = 316,353,377.04
  5. Step 5: Solve for x
    x = 316,353,377.04/22,514
  6. Step 6: Final answer
    x = 14,051.41

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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.