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Finding the Fourth Proportional to 12,160.97, 18,241.47 and 6,963.20

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Solution

The fourth proportional to 12,160.97, 18,241.47 and 6,963.20 is: 10,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.97 : 18,241.47 = 6,963.20 : x
  2. Step 2: Convert to fraction form
    12,160.97/18,241.47 = 6,963.20/x
  3. Step 3: Cross multiply
    12,160.97x = 18,241.47 × 6,963.20
  4. Step 4: Simplify right side
    12,160.97x = 127,018,912.70
  5. Step 5: Solve for x
    x = 127,018,912.70/12,160.97
  6. Step 6: Final answer
    x = 10,444.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.