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Finding the Fourth Proportional to 12,206.20, 16,844.40 and 6,617.20

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Solution

The fourth proportional to 12,206.20, 16,844.40 and 6,617.20 is: 9,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.20 : 16,844.40 = 6,617.20 : x
  2. Step 2: Convert to fraction form
    12,206.20/16,844.40 = 6,617.20/x
  3. Step 3: Cross multiply
    12,206.20x = 16,844.40 × 6,617.20
  4. Step 4: Simplify right side
    12,206.20x = 111,462,763.68
  5. Step 5: Solve for x
    x = 111,462,763.68/12,206.20
  6. Step 6: Final answer
    x = 9,131.65

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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.