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Finding the Fourth Proportional to 23,096.88, 31,847.04 and 19,729.44

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Solution

The fourth proportional to 23,096.88, 31,847.04 and 19,729.44 is: 27,203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,096.88 : 31,847.04 = 19,729.44 : x
  2. Step 2: Convert to fraction form
    23,096.88/31,847.04 = 19,729.44/x
  3. Step 3: Cross multiply
    23,096.88x = 31,847.04 × 19,729.44
  4. Step 4: Simplify right side
    23,096.88x = 628,324,264.86
  5. Step 5: Solve for x
    x = 628,324,264.86/23,096.88
  6. Step 6: Final answer
    x = 27,203.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.