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Finding the Fourth Proportional to 13,166.78, 18,170.40 and 7,198.40

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Solution

The fourth proportional to 13,166.78, 18,170.40 and 7,198.40 is: 9,933.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.78 : 18,170.40 = 7,198.40 : x
  2. Step 2: Convert to fraction form
    13,166.78/18,170.40 = 7,198.40/x
  3. Step 3: Cross multiply
    13,166.78x = 18,170.40 × 7,198.40
  4. Step 4: Simplify right side
    13,166.78x = 130,797,807.36
  5. Step 5: Solve for x
    x = 130,797,807.36/13,166.78
  6. Step 6: Final answer
    x = 9,933.93

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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.