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Finding the Fourth Proportional to 20,514.20, 30,772.80 and 8,033.10

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Solution

The fourth proportional to 20,514.20, 30,772.80 and 8,033.10 is: 12,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,514.20 : 30,772.80 = 8,033.10 : x
  2. Step 2: Convert to fraction form
    20,514.20/30,772.80 = 8,033.10/x
  3. Step 3: Cross multiply
    20,514.20x = 30,772.80 × 8,033.10
  4. Step 4: Simplify right side
    20,514.20x = 247,200,979.68
  5. Step 5: Solve for x
    x = 247,200,979.68/20,514.20
  6. Step 6: Final answer
    x = 12,050.24

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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.