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Finding the Fourth Proportional to 22,625.73, 33,951.82 and 9,477

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Solution

The fourth proportional to 22,625.73, 33,951.82 and 9,477 is: 14,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,625.73 : 33,951.82 = 9,477 : x
  2. Step 2: Convert to fraction form
    22,625.73/33,951.82 = 9,477/x
  3. Step 3: Cross multiply
    22,625.73x = 33,951.82 × 9,477
  4. Step 4: Simplify right side
    22,625.73x = 321,761,398.14
  5. Step 5: Solve for x
    x = 321,761,398.14/22,625.73
  6. Step 6: Final answer
    x = 14,221.04

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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.