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Finding the Fourth Proportional to 26,568.38, 39,854.89 and 6,846.90

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Solution

The fourth proportional to 26,568.38, 39,854.89 and 6,846.90 is: 10,270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,568.38 : 39,854.89 = 6,846.90 : x
  2. Step 2: Convert to fraction form
    26,568.38/39,854.89 = 6,846.90/x
  3. Step 3: Cross multiply
    26,568.38x = 39,854.89 × 6,846.90
  4. Step 4: Simplify right side
    26,568.38x = 272,882,446.34
  5. Step 5: Solve for x
    x = 272,882,446.34/26,568.38
  6. Step 6: Final answer
    x = 10,270.95

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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.