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Finding the Fourth Proportional to 13,138.67, 18,131.20 and 7,170.44

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Solution

The fourth proportional to 13,138.67, 18,131.20 and 7,170.44 is: 9,895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.67 : 18,131.20 = 7,170.44 : x
  2. Step 2: Convert to fraction form
    13,138.67/18,131.20 = 7,170.44/x
  3. Step 3: Cross multiply
    13,138.67x = 18,131.20 × 7,170.44
  4. Step 4: Simplify right side
    13,138.67x = 130,008,681.73
  5. Step 5: Solve for x
    x = 130,008,681.73/13,138.67
  6. Step 6: Final answer
    x = 9,895.12

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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.