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Finding the Fourth Proportional to 12,989.87, 17,914.25 and 8,511.99

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Solution

The fourth proportional to 12,989.87, 17,914.25 and 8,511.99 is: 11,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.87 : 17,914.25 = 8,511.99 : x
  2. Step 2: Convert to fraction form
    12,989.87/17,914.25 = 8,511.99/x
  3. Step 3: Cross multiply
    12,989.87x = 17,914.25 × 8,511.99
  4. Step 4: Simplify right side
    12,989.87x = 152,485,874.30
  5. Step 5: Solve for x
    x = 152,485,874.30/12,989.87
  6. Step 6: Final answer
    x = 11,738.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.