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Finding the Fourth Proportional to 13,166.75, 18,170.18 and 7,198.42

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Solution

The fourth proportional to 13,166.75, 18,170.18 and 7,198.42 is: 9,933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.75 : 18,170.18 = 7,198.42 : x
  2. Step 2: Convert to fraction form
    13,166.75/18,170.18 = 7,198.42/x
  3. Step 3: Cross multiply
    13,166.75x = 18,170.18 × 7,198.42
  4. Step 4: Simplify right side
    13,166.75x = 130,796,600.83
  5. Step 5: Solve for x
    x = 130,796,600.83/13,166.75
  6. Step 6: Final answer
    x = 9,933.85

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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.