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Finding the Fourth Proportional to 24,451.91, 33,744.43 and 13,841.31

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Solution

The fourth proportional to 24,451.91, 33,744.43 and 13,841.31 is: 19,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,451.91 : 33,744.43 = 13,841.31 : x
  2. Step 2: Convert to fraction form
    24,451.91/33,744.43 = 13,841.31/x
  3. Step 3: Cross multiply
    24,451.91x = 33,744.43 × 13,841.31
  4. Step 4: Simplify right side
    24,451.91x = 467,067,116.40
  5. Step 5: Solve for x
    x = 467,067,116.40/24,451.91
  6. Step 6: Final answer
    x = 19,101.46

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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.