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Finding the Fourth Proportional to 8,266.41, 12,399.72 and 2,423.14

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Solution

The fourth proportional to 8,266.41, 12,399.72 and 2,423.14 is: 3,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.41 : 12,399.72 = 2,423.14 : x
  2. Step 2: Convert to fraction form
    8,266.41/12,399.72 = 2,423.14/x
  3. Step 3: Cross multiply
    8,266.41x = 12,399.72 × 2,423.14
  4. Step 4: Simplify right side
    8,266.41x = 30,046,217.43
  5. Step 5: Solve for x
    x = 30,046,217.43/8,266.41
  6. Step 6: Final answer
    x = 3,634.74

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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.