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Finding the Fourth Proportional to 13,167.21, 18,170.73 and 7,865.13

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Solution

The fourth proportional to 13,167.21, 18,170.73 and 7,865.13 is: 10,853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,167.21 : 18,170.73 = 7,865.13 : x
  2. Step 2: Convert to fraction form
    13,167.21/18,170.73 = 7,865.13/x
  3. Step 3: Cross multiply
    13,167.21x = 18,170.73 × 7,865.13
  4. Step 4: Simplify right side
    13,167.21x = 142,915,153.64
  5. Step 5: Solve for x
    x = 142,915,153.64/13,167.21
  6. Step 6: Final answer
    x = 10,853.87

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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.