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Finding the Fourth Proportional to 26,296, 39,424.56 and 8,755.36

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Solution

The fourth proportional to 26,296, 39,424.56 and 8,755.36 is: 13,126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,296 : 39,424.56 = 8,755.36 : x
  2. Step 2: Convert to fraction form
    26,296/39,424.56 = 8,755.36/x
  3. Step 3: Cross multiply
    26,296x = 39,424.56 × 8,755.36
  4. Step 4: Simplify right side
    26,296x = 345,176,215.64
  5. Step 5: Solve for x
    x = 345,176,215.64/26,296
  6. Step 6: Final answer
    x = 13,126.57

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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.