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Finding the Fourth Proportional to 24,286.72, 33,515.40 and 13,676.16

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Solution

The fourth proportional to 24,286.72, 33,515.40 and 13,676.16 is: 18,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,286.72 : 33,515.40 = 13,676.16 : x
  2. Step 2: Convert to fraction form
    24,286.72/33,515.40 = 13,676.16/x
  3. Step 3: Cross multiply
    24,286.72x = 33,515.40 × 13,676.16
  4. Step 4: Simplify right side
    24,286.72x = 458,361,972.86
  5. Step 5: Solve for x
    x = 458,361,972.86/24,286.72
  6. Step 6: Final answer
    x = 18,872.95

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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.