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Finding the Fourth Proportional to 16,542.61, 24,793.05 and 6,676.40

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Solution

The fourth proportional to 16,542.61, 24,793.05 and 6,676.40 is: 10,006.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.61 : 24,793.05 = 6,676.40 : x
  2. Step 2: Convert to fraction form
    16,542.61/24,793.05 = 6,676.40/x
  3. Step 3: Cross multiply
    16,542.61x = 24,793.05 × 6,676.40
  4. Step 4: Simplify right side
    16,542.61x = 165,528,319.02
  5. Step 5: Solve for x
    x = 165,528,319.02/16,542.61
  6. Step 6: Final answer
    x = 10,006.18

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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.