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Finding the Fourth Proportional to 21,158.38, 29,198.34 and 12,205.78

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Solution

The fourth proportional to 21,158.38, 29,198.34 and 12,205.78 is: 16,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,158.38 : 29,198.34 = 12,205.78 : x
  2. Step 2: Convert to fraction form
    21,158.38/29,198.34 = 12,205.78/x
  3. Step 3: Cross multiply
    21,158.38x = 29,198.34 × 12,205.78
  4. Step 4: Simplify right side
    21,158.38x = 356,388,514.41
  5. Step 5: Solve for x
    x = 356,388,514.41/21,158.38
  6. Step 6: Final answer
    x = 16,843.85

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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.