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Finding the Fourth Proportional to 12,276.20, 18,414.09 and 3,042.20

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Solution

The fourth proportional to 12,276.20, 18,414.09 and 3,042.20 is: 4,563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.20 : 18,414.09 = 3,042.20 : x
  2. Step 2: Convert to fraction form
    12,276.20/18,414.09 = 3,042.20/x
  3. Step 3: Cross multiply
    12,276.20x = 18,414.09 × 3,042.20
  4. Step 4: Simplify right side
    12,276.20x = 56,019,252.53
  5. Step 5: Solve for x
    x = 56,019,252.53/12,276.20
  6. Step 6: Final answer
    x = 4,563.24

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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.