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Finding the Fourth Proportional to 16,538.92, 24,809.19 and 6,676.97

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Solution

The fourth proportional to 16,538.92, 24,809.19 and 6,676.97 is: 10,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.92 : 24,809.19 = 6,676.97 : x
  2. Step 2: Convert to fraction form
    16,538.92/24,809.19 = 6,676.97/x
  3. Step 3: Cross multiply
    16,538.92x = 24,809.19 × 6,676.97
  4. Step 4: Simplify right side
    16,538.92x = 165,650,217.35
  5. Step 5: Solve for x
    x = 165,650,217.35/16,538.92
  6. Step 6: Final answer
    x = 10,015.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.