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Finding the Fourth Proportional to 20,122.20, 30,204.90 and 11,374.20

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Solution

The fourth proportional to 20,122.20, 30,204.90 and 11,374.20 is: 17,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122.20 : 30,204.90 = 11,374.20 : x
  2. Step 2: Convert to fraction form
    20,122.20/30,204.90 = 11,374.20/x
  3. Step 3: Cross multiply
    20,122.20x = 30,204.90 × 11,374.20
  4. Step 4: Simplify right side
    20,122.20x = 343,556,573.58
  5. Step 5: Solve for x
    x = 343,556,573.58/20,122.20
  6. Step 6: Final answer
    x = 17,073.51

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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.