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Finding the Fourth Proportional to 22,187.97, 33,282 and 8,327.25

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Solution

The fourth proportional to 22,187.97, 33,282 and 8,327.25 is: 12,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,187.97 : 33,282 = 8,327.25 : x
  2. Step 2: Convert to fraction form
    22,187.97/33,282 = 8,327.25/x
  3. Step 3: Cross multiply
    22,187.97x = 33,282 × 8,327.25
  4. Step 4: Simplify right side
    22,187.97x = 277,147,534.50
  5. Step 5: Solve for x
    x = 277,147,534.50/22,187.97
  6. Step 6: Final answer
    x = 12,490.89

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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.