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Finding the Fourth Proportional to 18,494.82, 27,754.38 and 6,808.14

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Solution

The fourth proportional to 18,494.82, 27,754.38 and 6,808.14 is: 10,216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,494.82 : 27,754.38 = 6,808.14 : x
  2. Step 2: Convert to fraction form
    18,494.82/27,754.38 = 6,808.14/x
  3. Step 3: Cross multiply
    18,494.82x = 27,754.38 × 6,808.14
  4. Step 4: Simplify right side
    18,494.82x = 188,955,704.65
  5. Step 5: Solve for x
    x = 188,955,704.65/18,494.82
  6. Step 6: Final answer
    x = 10,216.68

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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.