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Finding the Fourth Proportional to 24,286.50, 33,515.47 and 13,676.31

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Solution

The fourth proportional to 24,286.50, 33,515.47 and 13,676.31 is: 18,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,286.50 : 33,515.47 = 13,676.31 : x
  2. Step 2: Convert to fraction form
    24,286.50/33,515.47 = 13,676.31/x
  3. Step 3: Cross multiply
    24,286.50x = 33,515.47 × 13,676.31
  4. Step 4: Simplify right side
    24,286.50x = 458,367,974.61
  5. Step 5: Solve for x
    x = 458,367,974.61/24,286.50
  6. Step 6: Final answer
    x = 18,873.36

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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.