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Finding the Fourth Proportional to 22,527.92, 33,800.52 and 8,678

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Solution

The fourth proportional to 22,527.92, 33,800.52 and 8,678 is: 13,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,527.92 : 33,800.52 = 8,678 : x
  2. Step 2: Convert to fraction form
    22,527.92/33,800.52 = 8,678/x
  3. Step 3: Cross multiply
    22,527.92x = 33,800.52 × 8,678
  4. Step 4: Simplify right side
    22,527.92x = 293,320,912.56
  5. Step 5: Solve for x
    x = 293,320,912.56/22,527.92
  6. Step 6: Final answer
    x = 13,020.33

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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.