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Finding the Fourth Proportional to 20,782.94, 31,174.41 and 5,200.57

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Solution

The fourth proportional to 20,782.94, 31,174.41 and 5,200.57 is: 7,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.94 : 31,174.41 = 5,200.57 : x
  2. Step 2: Convert to fraction form
    20,782.94/31,174.41 = 5,200.57/x
  3. Step 3: Cross multiply
    20,782.94x = 31,174.41 × 5,200.57
  4. Step 4: Simplify right side
    20,782.94x = 162,124,545.54
  5. Step 5: Solve for x
    x = 162,124,545.54/20,782.94
  6. Step 6: Final answer
    x = 7,800.85

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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.