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Finding the Fourth Proportional to 20,891.87, 31,339.26 and 8,411.99

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Solution

The fourth proportional to 20,891.87, 31,339.26 and 8,411.99 is: 12,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,891.87 : 31,339.26 = 8,411.99 : x
  2. Step 2: Convert to fraction form
    20,891.87/31,339.26 = 8,411.99/x
  3. Step 3: Cross multiply
    20,891.87x = 31,339.26 × 8,411.99
  4. Step 4: Simplify right side
    20,891.87x = 263,625,541.73
  5. Step 5: Solve for x
    x = 263,625,541.73/20,891.87
  6. Step 6: Final answer
    x = 12,618.57

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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.