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Finding the Fourth Proportional to 11,954.39, 17,911.67 and 8,438.60

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Solution

The fourth proportional to 11,954.39, 17,911.67 and 8,438.60 is: 12,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.39 : 17,911.67 = 8,438.60 : x
  2. Step 2: Convert to fraction form
    11,954.39/17,911.67 = 8,438.60/x
  3. Step 3: Cross multiply
    11,954.39x = 17,911.67 × 8,438.60
  4. Step 4: Simplify right side
    11,954.39x = 151,149,421.05
  5. Step 5: Solve for x
    x = 151,149,421.05/11,954.39
  6. Step 6: Final answer
    x = 12,643.85

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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.