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Finding the Fourth Proportional to 11,969.20, 17,954.70 and 3,203.92

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Solution

The fourth proportional to 11,969.20, 17,954.70 and 3,203.92 is: 4,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.20 : 17,954.70 = 3,203.92 : x
  2. Step 2: Convert to fraction form
    11,969.20/17,954.70 = 3,203.92/x
  3. Step 3: Cross multiply
    11,969.20x = 17,954.70 × 3,203.92
  4. Step 4: Simplify right side
    11,969.20x = 57,525,422.42
  5. Step 5: Solve for x
    x = 57,525,422.42/11,969.20
  6. Step 6: Final answer
    x = 4,806.12

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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.