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Finding the Fourth Proportional to 20,516.50, 30,777.72 and 6,471.78

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Solution

The fourth proportional to 20,516.50, 30,777.72 and 6,471.78 is: 9,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516.50 : 30,777.72 = 6,471.78 : x
  2. Step 2: Convert to fraction form
    20,516.50/30,777.72 = 6,471.78/x
  3. Step 3: Cross multiply
    20,516.50x = 30,777.72 × 6,471.78
  4. Step 4: Simplify right side
    20,516.50x = 199,186,632.74
  5. Step 5: Solve for x
    x = 199,186,632.74/20,516.50
  6. Step 6: Final answer
    x = 9,708.61

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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.