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Finding the Fourth Proportional to 24,286.52, 33,509.57 and 13,676.15

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Solution

The fourth proportional to 24,286.52, 33,509.57 and 13,676.15 is: 18,869.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,286.52 : 33,509.57 = 13,676.15 : x
  2. Step 2: Convert to fraction form
    24,286.52/33,509.57 = 13,676.15/x
  3. Step 3: Cross multiply
    24,286.52x = 33,509.57 × 13,676.15
  4. Step 4: Simplify right side
    24,286.52x = 458,281,997.12
  5. Step 5: Solve for x
    x = 458,281,997.12/24,286.52
  6. Step 6: Final answer
    x = 18,869.81

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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.