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Finding the Fourth Proportional to 12,001.76, 17,997.06 and 3,679.64

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Solution

The fourth proportional to 12,001.76, 17,997.06 and 3,679.64 is: 5,517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.76 : 17,997.06 = 3,679.64 : x
  2. Step 2: Convert to fraction form
    12,001.76/17,997.06 = 3,679.64/x
  3. Step 3: Cross multiply
    12,001.76x = 17,997.06 × 3,679.64
  4. Step 4: Simplify right side
    12,001.76x = 66,222,701.86
  5. Step 5: Solve for x
    x = 66,222,701.86/12,001.76
  6. Step 6: Final answer
    x = 5,517.75

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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.