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Finding the Fourth Proportional to 16,782.90, 23,160.94 and 9,229.78

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Solution

The fourth proportional to 16,782.90, 23,160.94 and 9,229.78 is: 12,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.90 : 23,160.94 = 9,229.78 : x
  2. Step 2: Convert to fraction form
    16,782.90/23,160.94 = 9,229.78/x
  3. Step 3: Cross multiply
    16,782.90x = 23,160.94 × 9,229.78
  4. Step 4: Simplify right side
    16,782.90x = 213,770,380.79
  5. Step 5: Solve for x
    x = 213,770,380.79/16,782.90
  6. Step 6: Final answer
    x = 12,737.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.