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Finding the Fourth Proportional to 20,163.70, 30,245.55 and 7,851.70

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Solution

The fourth proportional to 20,163.70, 30,245.55 and 7,851.70 is: 11,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.70 : 30,245.55 = 7,851.70 : x
  2. Step 2: Convert to fraction form
    20,163.70/30,245.55 = 7,851.70/x
  3. Step 3: Cross multiply
    20,163.70x = 30,245.55 × 7,851.70
  4. Step 4: Simplify right side
    20,163.70x = 237,478,984.94
  5. Step 5: Solve for x
    x = 237,478,984.94/20,163.70
  6. Step 6: Final answer
    x = 11,777.55

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Similar ratio
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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.