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Finding the Fourth Proportional to 24,243.25, 33,456.09 and 15,859.75

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Solution

The fourth proportional to 24,243.25, 33,456.09 and 15,859.75 is: 21,886.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,243.25 : 33,456.09 = 15,859.75 : x
  2. Step 2: Convert to fraction form
    24,243.25/33,456.09 = 15,859.75/x
  3. Step 3: Cross multiply
    24,243.25x = 33,456.09 × 15,859.75
  4. Step 4: Simplify right side
    24,243.25x = 530,605,223.38
  5. Step 5: Solve for x
    x = 530,605,223.38/24,243.25
  6. Step 6: Final answer
    x = 21,886.72

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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.