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Finding the Fourth Proportional to 12,171.50, 16,796.13 and 6,866.81

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Solution

The fourth proportional to 12,171.50, 16,796.13 and 6,866.81 is: 9,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.50 : 16,796.13 = 6,866.81 : x
  2. Step 2: Convert to fraction form
    12,171.50/16,796.13 = 6,866.81/x
  3. Step 3: Cross multiply
    12,171.50x = 16,796.13 × 6,866.81
  4. Step 4: Simplify right side
    12,171.50x = 115,335,786.70
  5. Step 5: Solve for x
    x = 115,335,786.70/12,171.50
  6. Step 6: Final answer
    x = 9,475.89

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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.