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Finding the Fourth Proportional to 12,107.97, 18,163 and 3,342.89

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Solution

The fourth proportional to 12,107.97, 18,163 and 3,342.89 is: 5,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.97 : 18,163 = 3,342.89 : x
  2. Step 2: Convert to fraction form
    12,107.97/18,163 = 3,342.89/x
  3. Step 3: Cross multiply
    12,107.97x = 18,163 × 3,342.89
  4. Step 4: Simplify right side
    12,107.97x = 60,716,911.07
  5. Step 5: Solve for x
    x = 60,716,911.07/12,107.97
  6. Step 6: Final answer
    x = 5,014.62

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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.