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Finding the Fourth Proportional to 20,787.98, 31,194.26 and 7,649.57

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Solution

The fourth proportional to 20,787.98, 31,194.26 and 7,649.57 is: 11,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,787.98 : 31,194.26 = 7,649.57 : x
  2. Step 2: Convert to fraction form
    20,787.98/31,194.26 = 7,649.57/x
  3. Step 3: Cross multiply
    20,787.98x = 31,194.26 × 7,649.57
  4. Step 4: Simplify right side
    20,787.98x = 238,622,481.25
  5. Step 5: Solve for x
    x = 238,622,481.25/20,787.98
  6. Step 6: Final answer
    x = 11,478.87

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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.