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Finding the Fourth Proportional to 12,097.65, 16,724.70 and 11,986.83

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Solution

The fourth proportional to 12,097.65, 16,724.70 and 11,986.83 is: 16,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.65 : 16,724.70 = 11,986.83 : x
  2. Step 2: Convert to fraction form
    12,097.65/16,724.70 = 11,986.83/x
  3. Step 3: Cross multiply
    12,097.65x = 16,724.70 × 11,986.83
  4. Step 4: Simplify right side
    12,097.65x = 200,476,135.70
  5. Step 5: Solve for x
    x = 200,476,135.70/12,097.65
  6. Step 6: Final answer
    x = 16,571.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.