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Finding the Fourth Proportional to 11,996.64, 18,000.90 and 5,422.14

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Solution

The fourth proportional to 11,996.64, 18,000.90 and 5,422.14 is: 8,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.64 : 18,000.90 = 5,422.14 : x
  2. Step 2: Convert to fraction form
    11,996.64/18,000.90 = 5,422.14/x
  3. Step 3: Cross multiply
    11,996.64x = 18,000.90 × 5,422.14
  4. Step 4: Simplify right side
    11,996.64x = 97,603,399.93
  5. Step 5: Solve for x
    x = 97,603,399.93/11,996.64
  6. Step 6: Final answer
    x = 8,135.89

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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.