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Finding the Fourth Proportional to 13,161.97, 18,163.52 and 7,193.64

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Solution

The fourth proportional to 13,161.97, 18,163.52 and 7,193.64 is: 9,927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161.97 : 18,163.52 = 7,193.64 : x
  2. Step 2: Convert to fraction form
    13,161.97/18,163.52 = 7,193.64/x
  3. Step 3: Cross multiply
    13,161.97x = 18,163.52 × 7,193.64
  4. Step 4: Simplify right side
    13,161.97x = 130,661,824.01
  5. Step 5: Solve for x
    x = 130,661,824.01/13,161.97
  6. Step 6: Final answer
    x = 9,927.22

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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.