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Finding the Fourth Proportional to 12,344.67, 18,522.27 and 8,186.13

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Solution

The fourth proportional to 12,344.67, 18,522.27 and 8,186.13 is: 12,282.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,344.67 : 18,522.27 = 8,186.13 : x
  2. Step 2: Convert to fraction form
    12,344.67/18,522.27 = 8,186.13/x
  3. Step 3: Cross multiply
    12,344.67x = 18,522.27 × 8,186.13
  4. Step 4: Simplify right side
    12,344.67x = 151,625,710.12
  5. Step 5: Solve for x
    x = 151,625,710.12/12,344.67
  6. Step 6: Final answer
    x = 12,282.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.