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Finding the Fourth Proportional to 20,137.30, 27,793.10 and 11,638.25

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Solution

The fourth proportional to 20,137.30, 27,793.10 and 11,638.25 is: 16,062.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.30 : 27,793.10 = 11,638.25 : x
  2. Step 2: Convert to fraction form
    20,137.30/27,793.10 = 11,638.25/x
  3. Step 3: Cross multiply
    20,137.30x = 27,793.10 × 11,638.25
  4. Step 4: Simplify right side
    20,137.30x = 323,463,046.08
  5. Step 5: Solve for x
    x = 323,463,046.08/20,137.30
  6. Step 6: Final answer
    x = 16,062.88

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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.