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Finding the Fourth Proportional to 26,356.38, 39,540.03 and 10,774

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Solution

The fourth proportional to 26,356.38, 39,540.03 and 10,774 is: 16,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,356.38 : 39,540.03 = 10,774 : x
  2. Step 2: Convert to fraction form
    26,356.38/39,540.03 = 10,774/x
  3. Step 3: Cross multiply
    26,356.38x = 39,540.03 × 10,774
  4. Step 4: Simplify right side
    26,356.38x = 426,004,283.22
  5. Step 5: Solve for x
    x = 426,004,283.22/26,356.38
  6. Step 6: Final answer
    x = 16,163.23

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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.