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Finding the Fourth Proportional to 12,206.14, 16,844.49 and 6,617.14

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Solution

The fourth proportional to 12,206.14, 16,844.49 and 6,617.14 is: 9,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.14 : 16,844.49 = 6,617.14 : x
  2. Step 2: Convert to fraction form
    12,206.14/16,844.49 = 6,617.14/x
  3. Step 3: Cross multiply
    12,206.14x = 16,844.49 × 6,617.14
  4. Step 4: Simplify right side
    12,206.14x = 111,462,348.56
  5. Step 5: Solve for x
    x = 111,462,348.56/12,206.14
  6. Step 6: Final answer
    x = 9,131.66

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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.