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Finding the Fourth Proportional to 21,227.88, 29,295 and 11,796.96

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Solution

The fourth proportional to 21,227.88, 29,295 and 11,796.96 is: 16,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,227.88 : 29,295 = 11,796.96 : x
  2. Step 2: Convert to fraction form
    21,227.88/29,295 = 11,796.96/x
  3. Step 3: Cross multiply
    21,227.88x = 29,295 × 11,796.96
  4. Step 4: Simplify right side
    21,227.88x = 345,591,943.20
  5. Step 5: Solve for x
    x = 345,591,943.20/21,227.88
  6. Step 6: Final answer
    x = 16,280.10

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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.