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Finding the Fourth Proportional to 26,545.66, 39,812.46 and 7,826.97

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Solution

The fourth proportional to 26,545.66, 39,812.46 and 7,826.97 is: 11,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,545.66 : 39,812.46 = 7,826.97 : x
  2. Step 2: Convert to fraction form
    26,545.66/39,812.46 = 7,826.97/x
  3. Step 3: Cross multiply
    26,545.66x = 39,812.46 × 7,826.97
  4. Step 4: Simplify right side
    26,545.66x = 311,610,930.05
  5. Step 5: Solve for x
    x = 311,610,930.05/26,545.66
  6. Step 6: Final answer
    x = 11,738.68

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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.