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Finding the Fourth Proportional to 23,207.67, 34,814.75 and 11,517.75

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Solution

The fourth proportional to 23,207.67, 34,814.75 and 11,517.75 is: 17,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,207.67 : 34,814.75 = 11,517.75 : x
  2. Step 2: Convert to fraction form
    23,207.67/34,814.75 = 11,517.75/x
  3. Step 3: Cross multiply
    23,207.67x = 34,814.75 × 11,517.75
  4. Step 4: Simplify right side
    23,207.67x = 400,987,529.22
  5. Step 5: Solve for x
    x = 400,987,529.22/23,207.67
  6. Step 6: Final answer
    x = 17,278.23

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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.