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Finding the Fourth Proportional to 20,205.30, 27,872.12 and 16,819.38

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Solution

The fourth proportional to 20,205.30, 27,872.12 and 16,819.38 is: 23,201.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.30 : 27,872.12 = 16,819.38 : x
  2. Step 2: Convert to fraction form
    20,205.30/27,872.12 = 16,819.38/x
  3. Step 3: Cross multiply
    20,205.30x = 27,872.12 × 16,819.38
  4. Step 4: Simplify right side
    20,205.30x = 468,791,777.69
  5. Step 5: Solve for x
    x = 468,791,777.69/20,205.30
  6. Step 6: Final answer
    x = 23,201.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.