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Finding the Fourth Proportional to 12,206.97, 16,845.63 and 6,617.97

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Solution

The fourth proportional to 12,206.97, 16,845.63 and 6,617.97 is: 9,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.97 : 16,845.63 = 6,617.97 : x
  2. Step 2: Convert to fraction form
    12,206.97/16,845.63 = 6,617.97/x
  3. Step 3: Cross multiply
    12,206.97x = 16,845.63 × 6,617.97
  4. Step 4: Simplify right side
    12,206.97x = 111,483,873.97
  5. Step 5: Solve for x
    x = 111,483,873.97/12,206.97
  6. Step 6: Final answer
    x = 9,132.80

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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.