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Finding the Fourth Proportional to 12,227.10, 18,340.65 and 5,205.30

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Solution

The fourth proportional to 12,227.10, 18,340.65 and 5,205.30 is: 7,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.10 : 18,340.65 = 5,205.30 : x
  2. Step 2: Convert to fraction form
    12,227.10/18,340.65 = 5,205.30/x
  3. Step 3: Cross multiply
    12,227.10x = 18,340.65 × 5,205.30
  4. Step 4: Simplify right side
    12,227.10x = 95,468,585.45
  5. Step 5: Solve for x
    x = 95,468,585.45/12,227.10
  6. Step 6: Final answer
    x = 7,807.95

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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.