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Finding the Fourth Proportional to 20,545.65, 30,816.09 and 5,755.76

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Solution

The fourth proportional to 20,545.65, 30,816.09 and 5,755.76 is: 8,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,545.65 : 30,816.09 = 5,755.76 : x
  2. Step 2: Convert to fraction form
    20,545.65/30,816.09 = 5,755.76/x
  3. Step 3: Cross multiply
    20,545.65x = 30,816.09 × 5,755.76
  4. Step 4: Simplify right side
    20,545.65x = 177,369,979.66
  5. Step 5: Solve for x
    x = 177,369,979.66/20,545.65
  6. Step 6: Final answer
    x = 8,632.97

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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.