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Finding the Fourth Proportional to 12,065.69, 18,097.88 and 3,299.97

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Solution

The fourth proportional to 12,065.69, 18,097.88 and 3,299.97 is: 4,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,065.69 : 18,097.88 = 3,299.97 : x
  2. Step 2: Convert to fraction form
    12,065.69/18,097.88 = 3,299.97/x
  3. Step 3: Cross multiply
    12,065.69x = 18,097.88 × 3,299.97
  4. Step 4: Simplify right side
    12,065.69x = 59,722,461.06
  5. Step 5: Solve for x
    x = 59,722,461.06/12,065.69
  6. Step 6: Final answer
    x = 4,949.78

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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.