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Finding the Fourth Proportional to 13,057.20, 17,993.97 and 12,817.26

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Solution

The fourth proportional to 13,057.20, 17,993.97 and 12,817.26 is: 17,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.20 : 17,993.97 = 12,817.26 : x
  2. Step 2: Convert to fraction form
    13,057.20/17,993.97 = 12,817.26/x
  3. Step 3: Cross multiply
    13,057.20x = 17,993.97 × 12,817.26
  4. Step 4: Simplify right side
    13,057.20x = 230,633,391.92
  5. Step 5: Solve for x
    x = 230,633,391.92/13,057.20
  6. Step 6: Final answer
    x = 17,663.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.