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Finding the Fourth Proportional to 20,163.20, 27,827.20 and 11,213.60

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Solution

The fourth proportional to 20,163.20, 27,827.20 and 11,213.60 is: 15,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.20 : 27,827.20 = 11,213.60 : x
  2. Step 2: Convert to fraction form
    20,163.20/27,827.20 = 11,213.60/x
  3. Step 3: Cross multiply
    20,163.20x = 27,827.20 × 11,213.60
  4. Step 4: Simplify right side
    20,163.20x = 312,043,089.92
  5. Step 5: Solve for x
    x = 312,043,089.92/20,163.20
  6. Step 6: Final answer
    x = 15,475.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.