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Finding the Fourth Proportional to 11,646.41, 17,469.41 and 2,881.33

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Solution

The fourth proportional to 11,646.41, 17,469.41 and 2,881.33 is: 4,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.41 : 17,469.41 = 2,881.33 : x
  2. Step 2: Convert to fraction form
    11,646.41/17,469.41 = 2,881.33/x
  3. Step 3: Cross multiply
    11,646.41x = 17,469.41 × 2,881.33
  4. Step 4: Simplify right side
    11,646.41x = 50,335,087.84
  5. Step 5: Solve for x
    x = 50,335,087.84/11,646.41
  6. Step 6: Final answer
    x = 4,321.94

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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.