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Finding the Fourth Proportional to 12,206.06, 16,844.31 and 6,617.06

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Solution

The fourth proportional to 12,206.06, 16,844.31 and 6,617.06 is: 9,131.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.06 : 16,844.31 = 6,617.06 : x
  2. Step 2: Convert to fraction form
    12,206.06/16,844.31 = 6,617.06/x
  3. Step 3: Cross multiply
    12,206.06x = 16,844.31 × 6,617.06
  4. Step 4: Simplify right side
    12,206.06x = 111,459,809.93
  5. Step 5: Solve for x
    x = 111,459,809.93/12,206.06
  6. Step 6: Final answer
    x = 9,131.51

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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.