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Finding the Fourth Proportional to 20,640.68, 30,951.72 and 5,846.09

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Solution

The fourth proportional to 20,640.68, 30,951.72 and 5,846.09 is: 8,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,640.68 : 30,951.72 = 5,846.09 : x
  2. Step 2: Convert to fraction form
    20,640.68/30,951.72 = 5,846.09/x
  3. Step 3: Cross multiply
    20,640.68x = 30,951.72 × 5,846.09
  4. Step 4: Simplify right side
    20,640.68x = 180,946,540.77
  5. Step 5: Solve for x
    x = 180,946,540.77/20,640.68
  6. Step 6: Final answer
    x = 8,766.50

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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.