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Finding the Fourth Proportional to 26,963.50, 40,453.23 and 13,825.09

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Solution

The fourth proportional to 26,963.50, 40,453.23 and 13,825.09 is: 20,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,963.50 : 40,453.23 = 13,825.09 : x
  2. Step 2: Convert to fraction form
    26,963.50/40,453.23 = 13,825.09/x
  3. Step 3: Cross multiply
    26,963.50x = 40,453.23 × 13,825.09
  4. Step 4: Simplify right side
    26,963.50x = 559,269,545.54
  5. Step 5: Solve for x
    x = 559,269,545.54/26,963.50
  6. Step 6: Final answer
    x = 20,741.73

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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.