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Finding the Fourth Proportional to 12,644.81, 17,450.44 and 6,980.18

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Solution

The fourth proportional to 12,644.81, 17,450.44 and 6,980.18 is: 9,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.81 : 17,450.44 = 6,980.18 : x
  2. Step 2: Convert to fraction form
    12,644.81/17,450.44 = 6,980.18/x
  3. Step 3: Cross multiply
    12,644.81x = 17,450.44 × 6,980.18
  4. Step 4: Simplify right side
    12,644.81x = 121,807,107.58
  5. Step 5: Solve for x
    x = 121,807,107.58/12,644.81
  6. Step 6: Final answer
    x = 9,632.97

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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.