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Finding the Fourth Proportional to 27,380.88, 40,997.04 and 14,205.60

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Solution

The fourth proportional to 27,380.88, 40,997.04 and 14,205.60 is: 21,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,380.88 : 40,997.04 = 14,205.60 : x
  2. Step 2: Convert to fraction form
    27,380.88/40,997.04 = 14,205.60/x
  3. Step 3: Cross multiply
    27,380.88x = 40,997.04 × 14,205.60
  4. Step 4: Simplify right side
    27,380.88x = 582,387,551.42
  5. Step 5: Solve for x
    x = 582,387,551.42/27,380.88
  6. Step 6: Final answer
    x = 21,269.86

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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.