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Finding the Fourth Proportional to 20,144.20, 30,183.90 and 10,268.68

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Solution

The fourth proportional to 20,144.20, 30,183.90 and 10,268.68 is: 15,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.20 : 30,183.90 = 10,268.68 : x
  2. Step 2: Convert to fraction form
    20,144.20/30,183.90 = 10,268.68/x
  3. Step 3: Cross multiply
    20,144.20x = 30,183.90 × 10,268.68
  4. Step 4: Simplify right side
    20,144.20x = 309,948,810.25
  5. Step 5: Solve for x
    x = 309,948,810.25/20,144.20
  6. Step 6: Final answer
    x = 15,386.50

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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.