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Finding the Fourth Proportional to 11,996.91, 17,989.49 and 4,204.59

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Solution

The fourth proportional to 11,996.91, 17,989.49 and 4,204.59 is: 6,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.91 : 17,989.49 = 4,204.59 : x
  2. Step 2: Convert to fraction form
    11,996.91/17,989.49 = 4,204.59/x
  3. Step 3: Cross multiply
    11,996.91x = 17,989.49 × 4,204.59
  4. Step 4: Simplify right side
    11,996.91x = 75,638,408.74
  5. Step 5: Solve for x
    x = 75,638,408.74/11,996.91
  6. Step 6: Final answer
    x = 6,304.82

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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.