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Finding the Fourth Proportional to 18,314.24, 27,471.35 and 5,834.30

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Solution

The fourth proportional to 18,314.24, 27,471.35 and 5,834.30 is: 8,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,314.24 : 27,471.35 = 5,834.30 : x
  2. Step 2: Convert to fraction form
    18,314.24/27,471.35 = 5,834.30/x
  3. Step 3: Cross multiply
    18,314.24x = 27,471.35 × 5,834.30
  4. Step 4: Simplify right side
    18,314.24x = 160,275,974.53
  5. Step 5: Solve for x
    x = 160,275,974.53/18,314.24
  6. Step 6: Final answer
    x = 8,751.44

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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.