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Finding the Fourth Proportional to 20,073.92, 27,701.92 and 11,576

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Solution

The fourth proportional to 20,073.92, 27,701.92 and 11,576 is: 15,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,073.92 : 27,701.92 = 11,576 : x
  2. Step 2: Convert to fraction form
    20,073.92/27,701.92 = 11,576/x
  3. Step 3: Cross multiply
    20,073.92x = 27,701.92 × 11,576
  4. Step 4: Simplify right side
    20,073.92x = 320,677,425.92
  5. Step 5: Solve for x
    x = 320,677,425.92/20,073.92
  6. Step 6: Final answer
    x = 15,974.83

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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.