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Finding the Fourth Proportional to 20,754.50, 31,105.62 and 11,266.52

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Solution

The fourth proportional to 20,754.50, 31,105.62 and 11,266.52 is: 16,885.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,754.50 : 31,105.62 = 11,266.52 : x
  2. Step 2: Convert to fraction form
    20,754.50/31,105.62 = 11,266.52/x
  3. Step 3: Cross multiply
    20,754.50x = 31,105.62 × 11,266.52
  4. Step 4: Simplify right side
    20,754.50x = 350,451,934.31
  5. Step 5: Solve for x
    x = 350,451,934.31/20,754.50
  6. Step 6: Final answer
    x = 16,885.59

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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.