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Finding the Fourth Proportional to 16,902.76, 23,294.88 and 11,227.48

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Solution

The fourth proportional to 16,902.76, 23,294.88 and 11,227.48 is: 15,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,902.76 : 23,294.88 = 11,227.48 : x
  2. Step 2: Convert to fraction form
    16,902.76/23,294.88 = 11,227.48/x
  3. Step 3: Cross multiply
    16,902.76x = 23,294.88 × 11,227.48
  4. Step 4: Simplify right side
    16,902.76x = 261,542,799.30
  5. Step 5: Solve for x
    x = 261,542,799.30/16,902.76
  6. Step 6: Final answer
    x = 15,473.38

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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.