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Finding the Fourth Proportional to 12,171.31, 16,796.41 and 6,866.12

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Solution

The fourth proportional to 12,171.31, 16,796.41 and 6,866.12 is: 9,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.31 : 16,796.41 = 6,866.12 : x
  2. Step 2: Convert to fraction form
    12,171.31/16,796.41 = 6,866.12/x
  3. Step 3: Cross multiply
    12,171.31x = 16,796.41 × 6,866.12
  4. Step 4: Simplify right side
    12,171.31x = 115,326,135.60
  5. Step 5: Solve for x
    x = 115,326,135.60/12,171.31
  6. Step 6: Final answer
    x = 9,475.24

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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.