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Finding the Fourth Proportional to 22,976.43, 34,470.09 and 8,186.64

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Solution

The fourth proportional to 22,976.43, 34,470.09 and 8,186.64 is: 12,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,976.43 : 34,470.09 = 8,186.64 : x
  2. Step 2: Convert to fraction form
    22,976.43/34,470.09 = 8,186.64/x
  3. Step 3: Cross multiply
    22,976.43x = 34,470.09 × 8,186.64
  4. Step 4: Simplify right side
    22,976.43x = 282,194,217.60
  5. Step 5: Solve for x
    x = 282,194,217.60/22,976.43
  6. Step 6: Final answer
    x = 12,281.90

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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.