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Finding the Fourth Proportional to 12,206.04, 16,844.22 and 6,616.92

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Solution

The fourth proportional to 12,206.04, 16,844.22 and 6,616.92 is: 9,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.04 : 16,844.22 = 6,616.92 : x
  2. Step 2: Convert to fraction form
    12,206.04/16,844.22 = 6,616.92/x
  3. Step 3: Cross multiply
    12,206.04x = 16,844.22 × 6,616.92
  4. Step 4: Simplify right side
    12,206.04x = 111,456,856.20
  5. Step 5: Solve for x
    x = 111,456,856.20/12,206.04
  6. Step 6: Final answer
    x = 9,131.29

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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.