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Finding the Fourth Proportional to 12,203.42, 18,320.09 and 8,046.90

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Solution

The fourth proportional to 12,203.42, 18,320.09 and 8,046.90 is: 12,080.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.42 : 18,320.09 = 8,046.90 : x
  2. Step 2: Convert to fraction form
    12,203.42/18,320.09 = 8,046.90/x
  3. Step 3: Cross multiply
    12,203.42x = 18,320.09 × 8,046.90
  4. Step 4: Simplify right side
    12,203.42x = 147,419,891.99
  5. Step 5: Solve for x
    x = 147,419,891.99/12,203.42
  6. Step 6: Final answer
    x = 12,080.22

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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.