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Finding the Fourth Proportional to 11,967.20, 17,951.70 and 3,201.92

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Solution

The fourth proportional to 11,967.20, 17,951.70 and 3,201.92 is: 4,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.20 : 17,951.70 = 3,201.92 : x
  2. Step 2: Convert to fraction form
    11,967.20/17,951.70 = 3,201.92/x
  3. Step 3: Cross multiply
    11,967.20x = 17,951.70 × 3,201.92
  4. Step 4: Simplify right side
    11,967.20x = 57,479,907.26
  5. Step 5: Solve for x
    x = 57,479,907.26/11,967.20
  6. Step 6: Final answer
    x = 4,803.12

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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.