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Finding the Fourth Proportional to 20,837.28, 31,238.64 and 7,687.20

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Solution

The fourth proportional to 20,837.28, 31,238.64 and 7,687.20 is: 11,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,837.28 : 31,238.64 = 7,687.20 : x
  2. Step 2: Convert to fraction form
    20,837.28/31,238.64 = 7,687.20/x
  3. Step 3: Cross multiply
    20,837.28x = 31,238.64 × 7,687.20
  4. Step 4: Simplify right side
    20,837.28x = 240,137,673.41
  5. Step 5: Solve for x
    x = 240,137,673.41/20,837.28
  6. Step 6: Final answer
    x = 11,524.43

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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.