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Finding the Fourth Proportional to 18,470.82, 27,747.24 and 11,456.02

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Solution

The fourth proportional to 18,470.82, 27,747.24 and 11,456.02 is: 17,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,470.82 : 27,747.24 = 11,456.02 : x
  2. Step 2: Convert to fraction form
    18,470.82/27,747.24 = 11,456.02/x
  3. Step 3: Cross multiply
    18,470.82x = 27,747.24 × 11,456.02
  4. Step 4: Simplify right side
    18,470.82x = 317,872,936.38
  5. Step 5: Solve for x
    x = 317,872,936.38/18,470.82
  6. Step 6: Final answer
    x = 17,209.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.