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Finding the Fourth Proportional to 21,691.97, 32,546.05 and 8,553.50

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Solution

The fourth proportional to 21,691.97, 32,546.05 and 8,553.50 is: 12,833.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691.97 : 32,546.05 = 8,553.50 : x
  2. Step 2: Convert to fraction form
    21,691.97/32,546.05 = 8,553.50/x
  3. Step 3: Cross multiply
    21,691.97x = 32,546.05 × 8,553.50
  4. Step 4: Simplify right side
    21,691.97x = 278,382,433.18
  5. Step 5: Solve for x
    x = 278,382,433.18/21,691.97
  6. Step 6: Final answer
    x = 12,833.44

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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.