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Finding the Fourth Proportional to 12,218.42, 18,332.82 and 8,274.12

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Solution

The fourth proportional to 12,218.42, 18,332.82 and 8,274.12 is: 12,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.42 : 18,332.82 = 8,274.12 : x
  2. Step 2: Convert to fraction form
    12,218.42/18,332.82 = 8,274.12/x
  3. Step 3: Cross multiply
    12,218.42x = 18,332.82 × 8,274.12
  4. Step 4: Simplify right side
    12,218.42x = 151,687,952.62
  5. Step 5: Solve for x
    x = 151,687,952.62/12,218.42
  6. Step 6: Final answer
    x = 12,414.70

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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.