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Finding the Fourth Proportional to 20,197.38, 27,873.95 and 11,702.24

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Solution

The fourth proportional to 20,197.38, 27,873.95 and 11,702.24 is: 16,149.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.38 : 27,873.95 = 11,702.24 : x
  2. Step 2: Convert to fraction form
    20,197.38/27,873.95 = 11,702.24/x
  3. Step 3: Cross multiply
    20,197.38x = 27,873.95 × 11,702.24
  4. Step 4: Simplify right side
    20,197.38x = 326,187,454.77
  5. Step 5: Solve for x
    x = 326,187,454.77/20,197.38
  6. Step 6: Final answer
    x = 16,149.99

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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.