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Finding the Fourth Proportional to 16,914.16, 25,376.64 and 8,149.96

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Solution

The fourth proportional to 16,914.16, 25,376.64 and 8,149.96 is: 12,227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,914.16 : 25,376.64 = 8,149.96 : x
  2. Step 2: Convert to fraction form
    16,914.16/25,376.64 = 8,149.96/x
  3. Step 3: Cross multiply
    16,914.16x = 25,376.64 × 8,149.96
  4. Step 4: Simplify right side
    16,914.16x = 206,818,600.93
  5. Step 5: Solve for x
    x = 206,818,600.93/16,914.16
  6. Step 6: Final answer
    x = 12,227.54

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Why These Related Problems?

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