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Finding the Fourth Proportional to 23,174.80, 31,963.80 and 16,366

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Solution

The fourth proportional to 23,174.80, 31,963.80 and 16,366 is: 22,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.80 : 31,963.80 = 16,366 : x
  2. Step 2: Convert to fraction form
    23,174.80/31,963.80 = 16,366/x
  3. Step 3: Cross multiply
    23,174.80x = 31,963.80 × 16,366
  4. Step 4: Simplify right side
    23,174.80x = 523,119,550.80
  5. Step 5: Solve for x
    x = 523,119,550.80/23,174.80
  6. Step 6: Final answer
    x = 22,572.78

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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.