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Finding the Fourth Proportional to 13,167.25, 18,170.81 and 7,198.96

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Solution

The fourth proportional to 13,167.25, 18,170.81 and 7,198.96 is: 9,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,167.25 : 18,170.81 = 7,198.96 : x
  2. Step 2: Convert to fraction form
    13,167.25/18,170.81 = 7,198.96/x
  3. Step 3: Cross multiply
    13,167.25x = 18,170.81 × 7,198.96
  4. Step 4: Simplify right side
    13,167.25x = 130,810,970.41
  5. Step 5: Solve for x
    x = 130,810,970.41/13,167.25
  6. Step 6: Final answer
    x = 9,934.57

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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.