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Finding the Fourth Proportional to 11,966.50, 17,949.75 and 3,201.40

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Solution

The fourth proportional to 11,966.50, 17,949.75 and 3,201.40 is: 4,802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.50 : 17,949.75 = 3,201.40 : x
  2. Step 2: Convert to fraction form
    11,966.50/17,949.75 = 3,201.40/x
  3. Step 3: Cross multiply
    11,966.50x = 17,949.75 × 3,201.40
  4. Step 4: Simplify right side
    11,966.50x = 57,464,239.90
  5. Step 5: Solve for x
    x = 57,464,239.90/11,966.50
  6. Step 6: Final answer
    x = 4,802.09

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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.