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Finding the Fourth Proportional to 12,662.89, 17,474.49 and 6,997.33

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Solution

The fourth proportional to 12,662.89, 17,474.49 and 6,997.33 is: 9,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.89 : 17,474.49 = 6,997.33 : x
  2. Step 2: Convert to fraction form
    12,662.89/17,474.49 = 6,997.33/x
  3. Step 3: Cross multiply
    12,662.89x = 17,474.49 × 6,997.33
  4. Step 4: Simplify right side
    12,662.89x = 122,274,773.11
  5. Step 5: Solve for x
    x = 122,274,773.11/12,662.89
  6. Step 6: Final answer
    x = 9,656.15

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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.