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Finding the Fourth Proportional to 8,276.54, 12,414.81 and 2,433.20

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Solution

The fourth proportional to 8,276.54, 12,414.81 and 2,433.20 is: 3,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.54 : 12,414.81 = 2,433.20 : x
  2. Step 2: Convert to fraction form
    8,276.54/12,414.81 = 2,433.20/x
  3. Step 3: Cross multiply
    8,276.54x = 12,414.81 × 2,433.20
  4. Step 4: Simplify right side
    8,276.54x = 30,207,715.69
  5. Step 5: Solve for x
    x = 30,207,715.69/8,276.54
  6. Step 6: Final answer
    x = 3,649.80

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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.