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Finding the Fourth Proportional to 20,545.94, 30,820.64 and 5,754.85

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Solution

The fourth proportional to 20,545.94, 30,820.64 and 5,754.85 is: 8,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,545.94 : 30,820.64 = 5,754.85 : x
  2. Step 2: Convert to fraction form
    20,545.94/30,820.64 = 5,754.85/x
  3. Step 3: Cross multiply
    20,545.94x = 30,820.64 × 5,754.85
  4. Step 4: Simplify right side
    20,545.94x = 177,368,054.28
  5. Step 5: Solve for x
    x = 177,368,054.28/20,545.94
  6. Step 6: Final answer
    x = 8,632.75

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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.