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Finding the Fourth Proportional to 20,224.57, 30,338.38 and 6,893.42

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Solution

The fourth proportional to 20,224.57, 30,338.38 and 6,893.42 is: 10,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.57 : 30,338.38 = 6,893.42 : x
  2. Step 2: Convert to fraction form
    20,224.57/30,338.38 = 6,893.42/x
  3. Step 3: Cross multiply
    20,224.57x = 30,338.38 × 6,893.42
  4. Step 4: Simplify right side
    20,224.57x = 209,135,043.77
  5. Step 5: Solve for x
    x = 209,135,043.77/20,224.57
  6. Step 6: Final answer
    x = 10,340.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.