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Finding the Fourth Proportional to 18,468.81, 27,697.41 and 5,986.17

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Solution

The fourth proportional to 18,468.81, 27,697.41 and 5,986.17 is: 8,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,468.81 : 27,697.41 = 5,986.17 : x
  2. Step 2: Convert to fraction form
    18,468.81/27,697.41 = 5,986.17/x
  3. Step 3: Cross multiply
    18,468.81x = 27,697.41 × 5,986.17
  4. Step 4: Simplify right side
    18,468.81x = 165,801,404.82
  5. Step 5: Solve for x
    x = 165,801,404.82/18,468.81
  6. Step 6: Final answer
    x = 8,977.37

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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.