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Finding the Fourth Proportional to 20,494.12, 30,748.74 and 8,020.12

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Solution

The fourth proportional to 20,494.12, 30,748.74 and 8,020.12 is: 12,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.12 : 30,748.74 = 8,020.12 : x
  2. Step 2: Convert to fraction form
    20,494.12/30,748.74 = 8,020.12/x
  3. Step 3: Cross multiply
    20,494.12x = 30,748.74 × 8,020.12
  4. Step 4: Simplify right side
    20,494.12x = 246,608,584.65
  5. Step 5: Solve for x
    x = 246,608,584.65/20,494.12
  6. Step 6: Final answer
    x = 12,033.14

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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.