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Finding the Fourth Proportional to 16,738.96, 25,108.48 and 6,871.30

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Solution

The fourth proportional to 16,738.96, 25,108.48 and 6,871.30 is: 10,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738.96 : 25,108.48 = 6,871.30 : x
  2. Step 2: Convert to fraction form
    16,738.96/25,108.48 = 6,871.30/x
  3. Step 3: Cross multiply
    16,738.96x = 25,108.48 × 6,871.30
  4. Step 4: Simplify right side
    16,738.96x = 172,527,898.62
  5. Step 5: Solve for x
    x = 172,527,898.62/16,738.96
  6. Step 6: Final answer
    x = 10,306.97

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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.