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Finding the Fourth Proportional to 27,942.10, 41,907.26 and 8,215.30

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Solution

The fourth proportional to 27,942.10, 41,907.26 and 8,215.30 is: 12,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942.10 : 41,907.26 = 8,215.30 : x
  2. Step 2: Convert to fraction form
    27,942.10/41,907.26 = 8,215.30/x
  3. Step 3: Cross multiply
    27,942.10x = 41,907.26 × 8,215.30
  4. Step 4: Simplify right side
    27,942.10x = 344,280,713.08
  5. Step 5: Solve for x
    x = 344,280,713.08/27,942.10
  6. Step 6: Final answer
    x = 12,321.22

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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.