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Finding the Fourth Proportional to 15,462.75, 23,163.41 and 7,647.71

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Solution

The fourth proportional to 15,462.75, 23,163.41 and 7,647.71 is: 11,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,462.75 : 23,163.41 = 7,647.71 : x
  2. Step 2: Convert to fraction form
    15,462.75/23,163.41 = 7,647.71/x
  3. Step 3: Cross multiply
    15,462.75x = 23,163.41 × 7,647.71
  4. Step 4: Simplify right side
    15,462.75x = 177,147,004.05
  5. Step 5: Solve for x
    x = 177,147,004.05/15,462.75
  6. Step 6: Final answer
    x = 11,456.37

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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.