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Finding the Fourth Proportional to 18,296.37, 27,434.25 and 5,814.09

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Solution

The fourth proportional to 18,296.37, 27,434.25 and 5,814.09 is: 8,717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,296.37 : 27,434.25 = 5,814.09 : x
  2. Step 2: Convert to fraction form
    18,296.37/27,434.25 = 5,814.09/x
  3. Step 3: Cross multiply
    18,296.37x = 27,434.25 × 5,814.09
  4. Step 4: Simplify right side
    18,296.37x = 159,505,198.58
  5. Step 5: Solve for x
    x = 159,505,198.58/18,296.37
  6. Step 6: Final answer
    x = 8,717.86

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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.