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Finding the Fourth Proportional to 20,496.27, 30,738.46 and 8,652.67

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Solution

The fourth proportional to 20,496.27, 30,738.46 and 8,652.67 is: 12,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496.27 : 30,738.46 = 8,652.67 : x
  2. Step 2: Convert to fraction form
    20,496.27/30,738.46 = 8,652.67/x
  3. Step 3: Cross multiply
    20,496.27x = 30,738.46 × 8,652.67
  4. Step 4: Simplify right side
    20,496.27x = 265,969,750.69
  5. Step 5: Solve for x
    x = 265,969,750.69/20,496.27
  6. Step 6: Final answer
    x = 12,976.50

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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.