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Finding the Fourth Proportional to 20,194.26, 27,872.10 and 11,697.78

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Solution

The fourth proportional to 20,194.26, 27,872.10 and 11,697.78 is: 16,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.26 : 27,872.10 = 11,697.78 : x
  2. Step 2: Convert to fraction form
    20,194.26/27,872.10 = 11,697.78/x
  3. Step 3: Cross multiply
    20,194.26x = 27,872.10 × 11,697.78
  4. Step 4: Simplify right side
    20,194.26x = 326,041,693.94
  5. Step 5: Solve for x
    x = 326,041,693.94/20,194.26
  6. Step 6: Final answer
    x = 16,145.27

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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.