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Finding the Fourth Proportional to 18,129.44, 27,198.48 and 7,742

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Solution

The fourth proportional to 18,129.44, 27,198.48 and 7,742 is: 11,614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,129.44 : 27,198.48 = 7,742 : x
  2. Step 2: Convert to fraction form
    18,129.44/27,198.48 = 7,742/x
  3. Step 3: Cross multiply
    18,129.44x = 27,198.48 × 7,742
  4. Step 4: Simplify right side
    18,129.44x = 210,570,632.16
  5. Step 5: Solve for x
    x = 210,570,632.16/18,129.44
  6. Step 6: Final answer
    x = 11,614.84

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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.