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Finding the Fourth Proportional to 11,759.82, 17,634.42 and 8,459.07

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Solution

The fourth proportional to 11,759.82, 17,634.42 and 8,459.07 is: 12,684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.82 : 17,634.42 = 8,459.07 : x
  2. Step 2: Convert to fraction form
    11,759.82/17,634.42 = 8,459.07/x
  3. Step 3: Cross multiply
    11,759.82x = 17,634.42 × 8,459.07
  4. Step 4: Simplify right side
    11,759.82x = 149,170,793.19
  5. Step 5: Solve for x
    x = 149,170,793.19/11,759.82
  6. Step 6: Final answer
    x = 12,684.79

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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.