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Finding the Fourth Proportional to 12,185.65, 16,789.46 and 8,199.85

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Solution

The fourth proportional to 12,185.65, 16,789.46 and 8,199.85 is: 11,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.65 : 16,789.46 = 8,199.85 : x
  2. Step 2: Convert to fraction form
    12,185.65/16,789.46 = 8,199.85/x
  3. Step 3: Cross multiply
    12,185.65x = 16,789.46 × 8,199.85
  4. Step 4: Simplify right side
    12,185.65x = 137,670,969.63
  5. Step 5: Solve for x
    x = 137,670,969.63/12,185.65
  6. Step 6: Final answer
    x = 11,297.79

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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.