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Finding the Fourth Proportional to 12,206.56, 16,845 and 6,617.56

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Solution

The fourth proportional to 12,206.56, 16,845 and 6,617.56 is: 9,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.56 : 16,845 = 6,617.56 : x
  2. Step 2: Convert to fraction form
    12,206.56/16,845 = 6,617.56/x
  3. Step 3: Cross multiply
    12,206.56x = 16,845 × 6,617.56
  4. Step 4: Simplify right side
    12,206.56x = 111,472,798.20
  5. Step 5: Solve for x
    x = 111,472,798.20/12,206.56
  6. Step 6: Final answer
    x = 9,132.20

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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.