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Finding the Fourth Proportional to 24,456.88, 33,747.24 and 13,846.24

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Solution

The fourth proportional to 24,456.88, 33,747.24 and 13,846.24 is: 19,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,456.88 : 33,747.24 = 13,846.24 : x
  2. Step 2: Convert to fraction form
    24,456.88/33,747.24 = 13,846.24/x
  3. Step 3: Cross multiply
    24,456.88x = 33,747.24 × 13,846.24
  4. Step 4: Simplify right side
    24,456.88x = 467,272,384.38
  5. Step 5: Solve for x
    x = 467,272,384.38/24,456.88
  6. Step 6: Final answer
    x = 19,105.97

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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.