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Finding the Fourth Proportional to 13,755.42, 18,982.17 and 7,786.80

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Solution

The fourth proportional to 13,755.42, 18,982.17 and 7,786.80 is: 10,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.42 : 18,982.17 = 7,786.80 : x
  2. Step 2: Convert to fraction form
    13,755.42/18,982.17 = 7,786.80/x
  3. Step 3: Cross multiply
    13,755.42x = 18,982.17 × 7,786.80
  4. Step 4: Simplify right side
    13,755.42x = 147,810,361.36
  5. Step 5: Solve for x
    x = 147,810,361.36/13,755.42
  6. Step 6: Final answer
    x = 10,745.61

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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.