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Finding the Fourth Proportional to 12,171.62, 16,796.84 and 6,866.46

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Solution

The fourth proportional to 12,171.62, 16,796.84 and 6,866.46 is: 9,475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.62 : 16,796.84 = 6,866.46 : x
  2. Step 2: Convert to fraction form
    12,171.62/16,796.84 = 6,866.46/x
  3. Step 3: Cross multiply
    12,171.62x = 16,796.84 × 6,866.46
  4. Step 4: Simplify right side
    12,171.62x = 115,334,795.65
  5. Step 5: Solve for x
    x = 115,334,795.65/12,171.62
  6. Step 6: Final answer
    x = 9,475.72

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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.