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Finding the Fourth Proportional to 24,451.98, 33,744.53 and 13,841.38

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Solution

The fourth proportional to 24,451.98, 33,744.53 and 13,841.38 is: 19,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,451.98 : 33,744.53 = 13,841.38 : x
  2. Step 2: Convert to fraction form
    24,451.98/33,744.53 = 13,841.38/x
  3. Step 3: Cross multiply
    24,451.98x = 33,744.53 × 13,841.38
  4. Step 4: Simplify right side
    24,451.98x = 467,070,862.65
  5. Step 5: Solve for x
    x = 467,070,862.65/24,451.98
  6. Step 6: Final answer
    x = 19,101.56

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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.