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Finding the Fourth Proportional to 12,107.74, 18,163.86 and 4,209.94

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Solution

The fourth proportional to 12,107.74, 18,163.86 and 4,209.94 is: 6,315.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.74 : 18,163.86 = 4,209.94 : x
  2. Step 2: Convert to fraction form
    12,107.74/18,163.86 = 4,209.94/x
  3. Step 3: Cross multiply
    12,107.74x = 18,163.86 × 4,209.94
  4. Step 4: Simplify right side
    12,107.74x = 76,468,760.77
  5. Step 5: Solve for x
    x = 76,468,760.77/12,107.74
  6. Step 6: Final answer
    x = 6,315.69

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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.