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Finding the Fourth Proportional to 20,857.66, 31,286.49 and 5,062.71

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Solution

The fourth proportional to 20,857.66, 31,286.49 and 5,062.71 is: 7,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.66 : 31,286.49 = 5,062.71 : x
  2. Step 2: Convert to fraction form
    20,857.66/31,286.49 = 5,062.71/x
  3. Step 3: Cross multiply
    20,857.66x = 31,286.49 × 5,062.71
  4. Step 4: Simplify right side
    20,857.66x = 158,394,407.52
  5. Step 5: Solve for x
    x = 158,394,407.52/20,857.66
  6. Step 6: Final answer
    x = 7,594.07

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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.