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Finding the Fourth Proportional to 20,489.60, 30,727.20 and 9,401.60

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Solution

The fourth proportional to 20,489.60, 30,727.20 and 9,401.60 is: 14,099.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489.60 : 30,727.20 = 9,401.60 : x
  2. Step 2: Convert to fraction form
    20,489.60/30,727.20 = 9,401.60/x
  3. Step 3: Cross multiply
    20,489.60x = 30,727.20 × 9,401.60
  4. Step 4: Simplify right side
    20,489.60x = 288,884,843.52
  5. Step 5: Solve for x
    x = 288,884,843.52/20,489.60
  6. Step 6: Final answer
    x = 14,099.10

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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.