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Finding the Fourth Proportional to 16,942.70, 25,418.10 and 8,170.40

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Solution

The fourth proportional to 16,942.70, 25,418.10 and 8,170.40 is: 12,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,942.70 : 25,418.10 = 8,170.40 : x
  2. Step 2: Convert to fraction form
    16,942.70/25,418.10 = 8,170.40/x
  3. Step 3: Cross multiply
    16,942.70x = 25,418.10 × 8,170.40
  4. Step 4: Simplify right side
    16,942.70x = 207,676,044.24
  5. Step 5: Solve for x
    x = 207,676,044.24/16,942.70
  6. Step 6: Final answer
    x = 12,257.55

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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.