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Finding the Fourth Proportional to 23,226.39, 34,839.18 and 7,644.15

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Solution

The fourth proportional to 23,226.39, 34,839.18 and 7,644.15 is: 11,466.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,226.39 : 34,839.18 = 7,644.15 : x
  2. Step 2: Convert to fraction form
    23,226.39/34,839.18 = 7,644.15/x
  3. Step 3: Cross multiply
    23,226.39x = 34,839.18 × 7,644.15
  4. Step 4: Simplify right side
    23,226.39x = 266,315,917.80
  5. Step 5: Solve for x
    x = 266,315,917.80/23,226.39
  6. Step 6: Final answer
    x = 11,466.09

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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.