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Finding the Fourth Proportional to 11,965.59, 17,947.17 and 3,201.39

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Solution

The fourth proportional to 11,965.59, 17,947.17 and 3,201.39 is: 4,801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.59 : 17,947.17 = 3,201.39 : x
  2. Step 2: Convert to fraction form
    11,965.59/17,947.17 = 3,201.39/x
  3. Step 3: Cross multiply
    11,965.59x = 17,947.17 × 3,201.39
  4. Step 4: Simplify right side
    11,965.59x = 57,455,890.57
  5. Step 5: Solve for x
    x = 57,455,890.57/11,965.59
  6. Step 6: Final answer
    x = 4,801.76

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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.