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Finding the Fourth Proportional to 20,582.80, 30,874.20 and 10,214.80

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Solution

The fourth proportional to 20,582.80, 30,874.20 and 10,214.80 is: 15,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.80 : 30,874.20 = 10,214.80 : x
  2. Step 2: Convert to fraction form
    20,582.80/30,874.20 = 10,214.80/x
  3. Step 3: Cross multiply
    20,582.80x = 30,874.20 × 10,214.80
  4. Step 4: Simplify right side
    20,582.80x = 315,373,778.16
  5. Step 5: Solve for x
    x = 315,373,778.16/20,582.80
  6. Step 6: Final answer
    x = 15,322.20

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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.