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Finding the Fourth Proportional to 12,086.40, 16,678.20 and 7,369.80

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Solution

The fourth proportional to 12,086.40, 16,678.20 and 7,369.80 is: 10,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.40 : 16,678.20 = 7,369.80 : x
  2. Step 2: Convert to fraction form
    12,086.40/16,678.20 = 7,369.80/x
  3. Step 3: Cross multiply
    12,086.40x = 16,678.20 × 7,369.80
  4. Step 4: Simplify right side
    12,086.40x = 122,914,998.36
  5. Step 5: Solve for x
    x = 122,914,998.36/12,086.40
  6. Step 6: Final answer
    x = 10,169.69

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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.