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Finding the Fourth Proportional to 20,757.36, 31,149 and 15,124.56

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Solution

The fourth proportional to 20,757.36, 31,149 and 15,124.56 is: 22,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,757.36 : 31,149 = 15,124.56 : x
  2. Step 2: Convert to fraction form
    20,757.36/31,149 = 15,124.56/x
  3. Step 3: Cross multiply
    20,757.36x = 31,149 × 15,124.56
  4. Step 4: Simplify right side
    20,757.36x = 471,114,919.44
  5. Step 5: Solve for x
    x = 471,114,919.44/20,757.36
  6. Step 6: Final answer
    x = 22,696.28

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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.