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Finding the Fourth Proportional to 12,185.02, 16,843.90 and 8,678.52

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Solution

The fourth proportional to 12,185.02, 16,843.90 and 8,678.52 is: 11,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.02 : 16,843.90 = 8,678.52 : x
  2. Step 2: Convert to fraction form
    12,185.02/16,843.90 = 8,678.52/x
  3. Step 3: Cross multiply
    12,185.02x = 16,843.90 × 8,678.52
  4. Step 4: Simplify right side
    12,185.02x = 146,180,123.03
  5. Step 5: Solve for x
    x = 146,180,123.03/12,185.02
  6. Step 6: Final answer
    x = 11,996.71

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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.