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Finding the Fourth Proportional to 18,234.53, 27,354.67 and 7,846.37

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Solution

The fourth proportional to 18,234.53, 27,354.67 and 7,846.37 is: 11,770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,234.53 : 27,354.67 = 7,846.37 : x
  2. Step 2: Convert to fraction form
    18,234.53/27,354.67 = 7,846.37/x
  3. Step 3: Cross multiply
    18,234.53x = 27,354.67 × 7,846.37
  4. Step 4: Simplify right side
    18,234.53x = 214,634,725.27
  5. Step 5: Solve for x
    x = 214,634,725.27/18,234.53
  6. Step 6: Final answer
    x = 11,770.79

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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.