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Finding the Fourth Proportional to 20,505.80, 30,757.10 and 8,023.40

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Solution

The fourth proportional to 20,505.80, 30,757.10 and 8,023.40 is: 12,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.80 : 30,757.10 = 8,023.40 : x
  2. Step 2: Convert to fraction form
    20,505.80/30,757.10 = 8,023.40/x
  3. Step 3: Cross multiply
    20,505.80x = 30,757.10 × 8,023.40
  4. Step 4: Simplify right side
    20,505.80x = 246,776,516.14
  5. Step 5: Solve for x
    x = 246,776,516.14/20,505.80
  6. Step 6: Final answer
    x = 12,034.47

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1.5x scale

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.