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Finding the Fourth Proportional to 20,198.86, 27,874.42 and 11,702.62

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Solution

The fourth proportional to 20,198.86, 27,874.42 and 11,702.62 is: 16,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.86 : 27,874.42 = 11,702.62 : x
  2. Step 2: Convert to fraction form
    20,198.86/27,874.42 = 11,702.62/x
  3. Step 3: Cross multiply
    20,198.86x = 27,874.42 × 11,702.62
  4. Step 4: Simplify right side
    20,198.86x = 326,203,744.98
  5. Step 5: Solve for x
    x = 326,203,744.98/20,198.86
  6. Step 6: Final answer
    x = 16,149.61

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