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Finding the Fourth Proportional to 13,204.25, 19,759.19 and 11,469.68

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Solution

The fourth proportional to 13,204.25, 19,759.19 and 11,469.68 is: 17,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.25 : 19,759.19 = 11,469.68 : x
  2. Step 2: Convert to fraction form
    13,204.25/19,759.19 = 11,469.68/x
  3. Step 3: Cross multiply
    13,204.25x = 19,759.19 × 11,469.68
  4. Step 4: Simplify right side
    13,204.25x = 226,631,430.21
  5. Step 5: Solve for x
    x = 226,631,430.21/13,204.25
  6. Step 6: Final answer
    x = 17,163.53

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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.