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Finding the Fourth Proportional to 24,023.97, 33,149.97 and 13,414.05

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Solution

The fourth proportional to 24,023.97, 33,149.97 and 13,414.05 is: 18,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,023.97 : 33,149.97 = 13,414.05 : x
  2. Step 2: Convert to fraction form
    24,023.97/33,149.97 = 13,414.05/x
  3. Step 3: Cross multiply
    24,023.97x = 33,149.97 × 13,414.05
  4. Step 4: Simplify right side
    24,023.97x = 444,675,355.08
  5. Step 5: Solve for x
    x = 444,675,355.08/24,023.97
  6. Step 6: Final answer
    x = 18,509.65

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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.