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Finding the Fourth Proportional to 26,563.96, 39,836.64 and 7,839.01

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Solution

The fourth proportional to 26,563.96, 39,836.64 and 7,839.01 is: 11,755.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,563.96 : 39,836.64 = 7,839.01 : x
  2. Step 2: Convert to fraction form
    26,563.96/39,836.64 = 7,839.01/x
  3. Step 3: Cross multiply
    26,563.96x = 39,836.64 × 7,839.01
  4. Step 4: Simplify right side
    26,563.96x = 312,279,620.14
  5. Step 5: Solve for x
    x = 312,279,620.14/26,563.96
  6. Step 6: Final answer
    x = 11,755.77

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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.