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Finding the Fourth Proportional to 12,171.45, 16,797.39 and 6,866.16

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Solution

The fourth proportional to 12,171.45, 16,797.39 and 6,866.16 is: 9,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.45 : 16,797.39 = 6,866.16 : x
  2. Step 2: Convert to fraction form
    12,171.45/16,797.39 = 6,866.16/x
  3. Step 3: Cross multiply
    12,171.45x = 16,797.39 × 6,866.16
  4. Step 4: Simplify right side
    12,171.45x = 115,333,567.32
  5. Step 5: Solve for x
    x = 115,333,567.32/12,171.45
  6. Step 6: Final answer
    x = 9,475.75

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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.