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Finding the Fourth Proportional to 20,993.92, 31,491 and 5,411.55

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Solution

The fourth proportional to 20,993.92, 31,491 and 5,411.55 is: 8,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.92 : 31,491 = 5,411.55 : x
  2. Step 2: Convert to fraction form
    20,993.92/31,491 = 5,411.55/x
  3. Step 3: Cross multiply
    20,993.92x = 31,491 × 5,411.55
  4. Step 4: Simplify right side
    20,993.92x = 170,415,121.05
  5. Step 5: Solve for x
    x = 170,415,121.05/20,993.92
  6. Step 6: Final answer
    x = 8,117.36

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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.