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Finding the Fourth Proportional to 23,266, 34,910.20 and 11,580.24

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Solution

The fourth proportional to 23,266, 34,910.20 and 11,580.24 is: 17,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,266 : 34,910.20 = 11,580.24 : x
  2. Step 2: Convert to fraction form
    23,266/34,910.20 = 11,580.24/x
  3. Step 3: Cross multiply
    23,266x = 34,910.20 × 11,580.24
  4. Step 4: Simplify right side
    23,266x = 404,268,494.45
  5. Step 5: Solve for x
    x = 404,268,494.45/23,266
  6. Step 6: Final answer
    x = 17,375.93

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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.