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Finding the Fourth Proportional to 24,379.88, 33,644.10 and 13,201.80

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Solution

The fourth proportional to 24,379.88, 33,644.10 and 13,201.80 is: 18,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379.88 : 33,644.10 = 13,201.80 : x
  2. Step 2: Convert to fraction form
    24,379.88/33,644.10 = 13,201.80/x
  3. Step 3: Cross multiply
    24,379.88x = 33,644.10 × 13,201.80
  4. Step 4: Simplify right side
    24,379.88x = 444,162,679.38
  5. Step 5: Solve for x
    x = 444,162,679.38/24,379.88
  6. Step 6: Final answer
    x = 18,218.41

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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.