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Finding the Fourth Proportional to 18,314.11, 27,462.07 and 5,832.50

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Solution

The fourth proportional to 18,314.11, 27,462.07 and 5,832.50 is: 8,745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,314.11 : 27,462.07 = 5,832.50 : x
  2. Step 2: Convert to fraction form
    18,314.11/27,462.07 = 5,832.50/x
  3. Step 3: Cross multiply
    18,314.11x = 27,462.07 × 5,832.50
  4. Step 4: Simplify right side
    18,314.11x = 160,172,523.28
  5. Step 5: Solve for x
    x = 160,172,523.28/18,314.11
  6. Step 6: Final answer
    x = 8,745.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.