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Finding the Fourth Proportional to 20,227, 27,912.36 and 11,274.88

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Solution

The fourth proportional to 20,227, 27,912.36 and 11,274.88 is: 15,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227 : 27,912.36 = 11,274.88 : x
  2. Step 2: Convert to fraction form
    20,227/27,912.36 = 11,274.88/x
  3. Step 3: Cross multiply
    20,227x = 27,912.36 × 11,274.88
  4. Step 4: Simplify right side
    20,227x = 314,708,509.52
  5. Step 5: Solve for x
    x = 314,708,509.52/20,227
  6. Step 6: Final answer
    x = 15,558.83

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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.