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Finding the Fourth Proportional to 26,963.94, 40,446 and 8,243.90

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Solution

The fourth proportional to 26,963.94, 40,446 and 8,243.90 is: 12,365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,963.94 : 40,446 = 8,243.90 : x
  2. Step 2: Convert to fraction form
    26,963.94/40,446 = 8,243.90/x
  3. Step 3: Cross multiply
    26,963.94x = 40,446 × 8,243.90
  4. Step 4: Simplify right side
    26,963.94x = 333,432,880.52
  5. Step 5: Solve for x
    x = 333,432,880.52/26,963.94
  6. Step 6: Final answer
    x = 12,365.88

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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.