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Finding the Fourth Proportional to 11,997.64, 18,002.40 and 5,423.14

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Solution

The fourth proportional to 11,997.64, 18,002.40 and 5,423.14 is: 8,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997.64 : 18,002.40 = 5,423.14 : x
  2. Step 2: Convert to fraction form
    11,997.64/18,002.40 = 5,423.14/x
  3. Step 3: Cross multiply
    11,997.64x = 18,002.40 × 5,423.14
  4. Step 4: Simplify right side
    11,997.64x = 97,629,535.54
  5. Step 5: Solve for x
    x = 97,629,535.54/11,997.64
  6. Step 6: Final answer
    x = 8,137.39

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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.