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Finding the Fourth Proportional to 26,568.96, 39,839.58 and 7,846.62

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Solution

The fourth proportional to 26,568.96, 39,839.58 and 7,846.62 is: 11,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,568.96 : 39,839.58 = 7,846.62 : x
  2. Step 2: Convert to fraction form
    26,568.96/39,839.58 = 7,846.62/x
  3. Step 3: Cross multiply
    26,568.96x = 39,839.58 × 7,846.62
  4. Step 4: Simplify right side
    26,568.96x = 312,606,045.22
  5. Step 5: Solve for x
    x = 312,606,045.22/26,568.96
  6. Step 6: Final answer
    x = 11,765.84

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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.