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Finding the Fourth Proportional to 20,595.20, 30,892.80 and 10,227.20

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Solution

The fourth proportional to 20,595.20, 30,892.80 and 10,227.20 is: 15,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,595.20 : 30,892.80 = 10,227.20 : x
  2. Step 2: Convert to fraction form
    20,595.20/30,892.80 = 10,227.20/x
  3. Step 3: Cross multiply
    20,595.20x = 30,892.80 × 10,227.20
  4. Step 4: Simplify right side
    20,595.20x = 315,946,844.16
  5. Step 5: Solve for x
    x = 315,946,844.16/20,595.20
  6. Step 6: Final answer
    x = 15,340.80

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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.