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Finding the Fourth Proportional to 26,963.50, 40,445.34 and 8,243.46

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Solution

The fourth proportional to 26,963.50, 40,445.34 and 8,243.46 is: 12,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,963.50 : 40,445.34 = 8,243.46 : x
  2. Step 2: Convert to fraction form
    26,963.50/40,445.34 = 8,243.46/x
  3. Step 3: Cross multiply
    26,963.50x = 40,445.34 × 8,243.46
  4. Step 4: Simplify right side
    26,963.50x = 333,409,542.48
  5. Step 5: Solve for x
    x = 333,409,542.48/26,963.50
  6. Step 6: Final answer
    x = 12,365.22

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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.