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Finding the Fourth Proportional to 23,226.75, 34,846.20 and 7,644.38

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Solution

The fourth proportional to 23,226.75, 34,846.20 and 7,644.38 is: 11,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,226.75 : 34,846.20 = 7,644.38 : x
  2. Step 2: Convert to fraction form
    23,226.75/34,846.20 = 7,644.38/x
  3. Step 3: Cross multiply
    23,226.75x = 34,846.20 × 7,644.38
  4. Step 4: Simplify right side
    23,226.75x = 266,377,420.13
  5. Step 5: Solve for x
    x = 266,377,420.13/23,226.75
  6. Step 6: Final answer
    x = 11,468.56

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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.