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Finding the Fourth Proportional to 24,377.69, 33,640.38 and 13,624.47

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Solution

The fourth proportional to 24,377.69, 33,640.38 and 13,624.47 is: 18,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.69 : 33,640.38 = 13,624.47 : x
  2. Step 2: Convert to fraction form
    24,377.69/33,640.38 = 13,624.47/x
  3. Step 3: Cross multiply
    24,377.69x = 33,640.38 × 13,624.47
  4. Step 4: Simplify right side
    24,377.69x = 458,332,348.10
  5. Step 5: Solve for x
    x = 458,332,348.10/24,377.69
  6. Step 6: Final answer
    x = 18,801.30

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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.