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Finding the Fourth Proportional to 18,286.76, 27,419.58 and 7,180.48

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Solution

The fourth proportional to 18,286.76, 27,419.58 and 7,180.48 is: 10,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,286.76 : 27,419.58 = 7,180.48 : x
  2. Step 2: Convert to fraction form
    18,286.76/27,419.58 = 7,180.48/x
  3. Step 3: Cross multiply
    18,286.76x = 27,419.58 × 7,180.48
  4. Step 4: Simplify right side
    18,286.76x = 196,885,745.80
  5. Step 5: Solve for x
    x = 196,885,745.80/18,286.76
  6. Step 6: Final answer
    x = 10,766.57

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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.