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Finding the Fourth Proportional to 20,844.88, 31,257.87 and 7,687.96

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Solution

The fourth proportional to 20,844.88, 31,257.87 and 7,687.96 is: 11,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,844.88 : 31,257.87 = 7,687.96 : x
  2. Step 2: Convert to fraction form
    20,844.88/31,257.87 = 7,687.96/x
  3. Step 3: Cross multiply
    20,844.88x = 31,257.87 × 7,687.96
  4. Step 4: Simplify right side
    20,844.88x = 240,309,254.25
  5. Step 5: Solve for x
    x = 240,309,254.25/20,844.88
  6. Step 6: Final answer
    x = 11,528.45

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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.