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Finding the Fourth Proportional to 20,242.38, 30,367.89 and 7,095.54

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Solution

The fourth proportional to 20,242.38, 30,367.89 and 7,095.54 is: 10,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242.38 : 30,367.89 = 7,095.54 : x
  2. Step 2: Convert to fraction form
    20,242.38/30,367.89 = 7,095.54/x
  3. Step 3: Cross multiply
    20,242.38x = 30,367.89 × 7,095.54
  4. Step 4: Simplify right side
    20,242.38x = 215,476,578.21
  5. Step 5: Solve for x
    x = 215,476,578.21/20,242.38
  6. Step 6: Final answer
    x = 10,644.82

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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.