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Finding the Fourth Proportional to 13,166.85, 18,170.02 and 7,198.47

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Solution

The fourth proportional to 13,166.85, 18,170.02 and 7,198.47 is: 9,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.85 : 18,170.02 = 7,198.47 : x
  2. Step 2: Convert to fraction form
    13,166.85/18,170.02 = 7,198.47/x
  3. Step 3: Cross multiply
    13,166.85x = 18,170.02 × 7,198.47
  4. Step 4: Simplify right side
    13,166.85x = 130,796,352.87
  5. Step 5: Solve for x
    x = 130,796,352.87/13,166.85
  6. Step 6: Final answer
    x = 9,933.76

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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.