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Finding the Fourth Proportional to 23,163.98, 34,745.64 and 5,633.84

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Solution

The fourth proportional to 23,163.98, 34,745.64 and 5,633.84 is: 8,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,163.98 : 34,745.64 = 5,633.84 : x
  2. Step 2: Convert to fraction form
    23,163.98/34,745.64 = 5,633.84/x
  3. Step 3: Cross multiply
    23,163.98x = 34,745.64 × 5,633.84
  4. Step 4: Simplify right side
    23,163.98x = 195,751,376.46
  5. Step 5: Solve for x
    x = 195,751,376.46/23,163.98
  6. Step 6: Final answer
    x = 8,450.68

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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.