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Finding the Fourth Proportional to 22,529.92, 33,803.52 and 8,680

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Solution

The fourth proportional to 22,529.92, 33,803.52 and 8,680 is: 13,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,529.92 : 33,803.52 = 8,680 : x
  2. Step 2: Convert to fraction form
    22,529.92/33,803.52 = 8,680/x
  3. Step 3: Cross multiply
    22,529.92x = 33,803.52 × 8,680
  4. Step 4: Simplify right side
    22,529.92x = 293,414,553.60
  5. Step 5: Solve for x
    x = 293,414,553.60/22,529.92
  6. Step 6: Final answer
    x = 13,023.33

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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.