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Finding the Fourth Proportional to 12,170.62, 16,795.96 and 6,865.43

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Solution

The fourth proportional to 12,170.62, 16,795.96 and 6,865.43 is: 9,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.62 : 16,795.96 = 6,865.43 : x
  2. Step 2: Convert to fraction form
    12,170.62/16,795.96 = 6,865.43/x
  3. Step 3: Cross multiply
    12,170.62x = 16,795.96 × 6,865.43
  4. Step 4: Simplify right side
    12,170.62x = 115,311,512.49
  5. Step 5: Solve for x
    x = 115,311,512.49/12,170.62
  6. Step 6: Final answer
    x = 9,474.58

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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.