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Finding the Fourth Proportional to 20,843.42, 31,268.38 and 6,800.20

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Solution

The fourth proportional to 20,843.42, 31,268.38 and 6,800.20 is: 10,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.42 : 31,268.38 = 6,800.20 : x
  2. Step 2: Convert to fraction form
    20,843.42/31,268.38 = 6,800.20/x
  3. Step 3: Cross multiply
    20,843.42x = 31,268.38 × 6,800.20
  4. Step 4: Simplify right side
    20,843.42x = 212,631,142.50
  5. Step 5: Solve for x
    x = 212,631,142.50/20,843.42
  6. Step 6: Final answer
    x = 10,201.36

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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.