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Finding the Fourth Proportional to 18,339, 27,508.86 and 6,027

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Solution

The fourth proportional to 18,339, 27,508.86 and 6,027 is: 9,040.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,339 : 27,508.86 = 6,027 : x
  2. Step 2: Convert to fraction form
    18,339/27,508.86 = 6,027/x
  3. Step 3: Cross multiply
    18,339x = 27,508.86 × 6,027
  4. Step 4: Simplify right side
    18,339x = 165,795,899.22
  5. Step 5: Solve for x
    x = 165,795,899.22/18,339
  6. Step 6: Final answer
    x = 9,040.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.