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Finding the Fourth Proportional to 27,787.80, 41,672 and 17,241.60

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Solution

The fourth proportional to 27,787.80, 41,672 and 17,241.60 is: 25,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,787.80 : 41,672 = 17,241.60 : x
  2. Step 2: Convert to fraction form
    27,787.80/41,672 = 17,241.60/x
  3. Step 3: Cross multiply
    27,787.80x = 41,672 × 17,241.60
  4. Step 4: Simplify right side
    27,787.80x = 718,491,955.20
  5. Step 5: Solve for x
    x = 718,491,955.20/27,787.80
  6. Step 6: Final answer
    x = 25,856.38

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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.