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Finding the Fourth Proportional to 23,230.22, 34,847.49 and 7,647.98

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Solution

The fourth proportional to 23,230.22, 34,847.49 and 7,647.98 is: 11,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,230.22 : 34,847.49 = 7,647.98 : x
  2. Step 2: Convert to fraction form
    23,230.22/34,847.49 = 7,647.98/x
  3. Step 3: Cross multiply
    23,230.22x = 34,847.49 × 7,647.98
  4. Step 4: Simplify right side
    23,230.22x = 266,512,906.57
  5. Step 5: Solve for x
    x = 266,512,906.57/23,230.22
  6. Step 6: Final answer
    x = 11,472.68

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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.