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Finding the Fourth Proportional to 13,754.68, 18,981.61 and 7,786.22

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Solution

The fourth proportional to 13,754.68, 18,981.61 and 7,786.22 is: 10,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.68 : 18,981.61 = 7,786.22 : x
  2. Step 2: Convert to fraction form
    13,754.68/18,981.61 = 7,786.22/x
  3. Step 3: Cross multiply
    13,754.68x = 18,981.61 × 7,786.22
  4. Step 4: Simplify right side
    13,754.68x = 147,794,877.04
  5. Step 5: Solve for x
    x = 147,794,877.04/13,754.68
  6. Step 6: Final answer
    x = 10,745.06

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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.