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Finding the Fourth Proportional to 12,914.87, 17,822.71 and 12,467.90

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Solution

The fourth proportional to 12,914.87, 17,822.71 and 12,467.90 is: 17,205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.87 : 17,822.71 = 12,467.90 : x
  2. Step 2: Convert to fraction form
    12,914.87/17,822.71 = 12,467.90/x
  3. Step 3: Cross multiply
    12,914.87x = 17,822.71 × 12,467.90
  4. Step 4: Simplify right side
    12,914.87x = 222,211,766.01
  5. Step 5: Solve for x
    x = 222,211,766.01/12,914.87
  6. Step 6: Final answer
    x = 17,205.88

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