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Finding the Fourth Proportional to 20,122.70, 27,768.02 and 11,170.20

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Solution

The fourth proportional to 20,122.70, 27,768.02 and 11,170.20 is: 15,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122.70 : 27,768.02 = 11,170.20 : x
  2. Step 2: Convert to fraction form
    20,122.70/27,768.02 = 11,170.20/x
  3. Step 3: Cross multiply
    20,122.70x = 27,768.02 × 11,170.20
  4. Step 4: Simplify right side
    20,122.70x = 310,174,337.00
  5. Step 5: Solve for x
    x = 310,174,337.00/20,122.70
  6. Step 6: Final answer
    x = 15,414.15

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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.