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Finding the Fourth Proportional to 18,024.64, 27,039.84 and 6,338.24

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Solution

The fourth proportional to 18,024.64, 27,039.84 and 6,338.24 is: 9,508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,024.64 : 27,039.84 = 6,338.24 : x
  2. Step 2: Convert to fraction form
    18,024.64/27,039.84 = 6,338.24/x
  3. Step 3: Cross multiply
    18,024.64x = 27,039.84 × 6,338.24
  4. Step 4: Simplify right side
    18,024.64x = 171,384,995.48
  5. Step 5: Solve for x
    x = 171,384,995.48/18,024.64
  6. Step 6: Final answer
    x = 9,508.37

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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.