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Finding the Fourth Proportional to 12,170.89, 16,796.61 and 6,865.59

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Solution

The fourth proportional to 12,170.89, 16,796.61 and 6,865.59 is: 9,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.89 : 16,796.61 = 6,865.59 : x
  2. Step 2: Convert to fraction form
    12,170.89/16,796.61 = 6,865.59/x
  3. Step 3: Cross multiply
    12,170.89x = 16,796.61 × 6,865.59
  4. Step 4: Simplify right side
    12,170.89x = 115,318,637.65
  5. Step 5: Solve for x
    x = 115,318,637.65/12,170.89
  6. Step 6: Final answer
    x = 9,474.96

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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.