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Finding the Fourth Proportional to 20,248.86, 27,942.90 and 11,296.38

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Solution

The fourth proportional to 20,248.86, 27,942.90 and 11,296.38 is: 15,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,248.86 : 27,942.90 = 11,296.38 : x
  2. Step 2: Convert to fraction form
    20,248.86/27,942.90 = 11,296.38/x
  3. Step 3: Cross multiply
    20,248.86x = 27,942.90 × 11,296.38
  4. Step 4: Simplify right side
    20,248.86x = 315,653,616.70
  5. Step 5: Solve for x
    x = 315,653,616.70/20,248.86
  6. Step 6: Final answer
    x = 15,588.71

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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.