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Finding the Fourth Proportional to 26,229.78, 39,338.87 and 7,509.75

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Solution

The fourth proportional to 26,229.78, 39,338.87 and 7,509.75 is: 11,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,229.78 : 39,338.87 = 7,509.75 : x
  2. Step 2: Convert to fraction form
    26,229.78/39,338.87 = 7,509.75/x
  3. Step 3: Cross multiply
    26,229.78x = 39,338.87 × 7,509.75
  4. Step 4: Simplify right side
    26,229.78x = 295,425,041.43
  5. Step 5: Solve for x
    x = 295,425,041.43/26,229.78
  6. Step 6: Final answer
    x = 11,262.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.