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Finding the Fourth Proportional to 21,902.52, 32,853.84 and 5,486.52

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Solution

The fourth proportional to 21,902.52, 32,853.84 and 5,486.52 is: 8,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.52 : 32,853.84 = 5,486.52 : x
  2. Step 2: Convert to fraction form
    21,902.52/32,853.84 = 5,486.52/x
  3. Step 3: Cross multiply
    21,902.52x = 32,853.84 × 5,486.52
  4. Step 4: Simplify right side
    21,902.52x = 180,253,250.24
  5. Step 5: Solve for x
    x = 180,253,250.24/21,902.52
  6. Step 6: Final answer
    x = 8,229.80

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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.