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Finding the Fourth Proportional to 26,313.12, 39,469.68 and 7,845.12

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Solution

The fourth proportional to 26,313.12, 39,469.68 and 7,845.12 is: 11,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,313.12 : 39,469.68 = 7,845.12 : x
  2. Step 2: Convert to fraction form
    26,313.12/39,469.68 = 7,845.12/x
  3. Step 3: Cross multiply
    26,313.12x = 39,469.68 × 7,845.12
  4. Step 4: Simplify right side
    26,313.12x = 309,644,375.96
  5. Step 5: Solve for x
    x = 309,644,375.96/26,313.12
  6. Step 6: Final answer
    x = 11,767.68

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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.