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Finding the Fourth Proportional to 13,754.80, 18,982.07 and 7,786.34

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Solution

The fourth proportional to 13,754.80, 18,982.07 and 7,786.34 is: 10,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.80 : 18,982.07 = 7,786.34 : x
  2. Step 2: Convert to fraction form
    13,754.80/18,982.07 = 7,786.34/x
  3. Step 3: Cross multiply
    13,754.80x = 18,982.07 × 7,786.34
  4. Step 4: Simplify right side
    13,754.80x = 147,800,764.08
  5. Step 5: Solve for x
    x = 147,800,764.08/13,754.80
  6. Step 6: Final answer
    x = 10,745.40

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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.