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Finding the Fourth Proportional to 24,451.98, 33,743.84 and 13,843.66

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Solution

The fourth proportional to 24,451.98, 33,743.84 and 13,843.66 is: 19,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,451.98 : 33,743.84 = 13,843.66 : x
  2. Step 2: Convert to fraction form
    24,451.98/33,743.84 = 13,843.66/x
  3. Step 3: Cross multiply
    24,451.98x = 33,743.84 × 13,843.66
  4. Step 4: Simplify right side
    24,451.98x = 467,138,010.12
  5. Step 5: Solve for x
    x = 467,138,010.12/24,451.98
  6. Step 6: Final answer
    x = 19,104.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.