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Finding the Fourth Proportional to 16,782.92, 25,175.15 and 11,874.50

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Solution

The fourth proportional to 16,782.92, 25,175.15 and 11,874.50 is: 17,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.92 : 25,175.15 = 11,874.50 : x
  2. Step 2: Convert to fraction form
    16,782.92/25,175.15 = 11,874.50/x
  3. Step 3: Cross multiply
    16,782.92x = 25,175.15 × 11,874.50
  4. Step 4: Simplify right side
    16,782.92x = 298,942,318.68
  5. Step 5: Solve for x
    x = 298,942,318.68/16,782.92
  6. Step 6: Final answer
    x = 17,812.29

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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.