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Finding the Fourth Proportional to 12,440, 17,169.12 and 7,724.48

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Solution

The fourth proportional to 12,440, 17,169.12 and 7,724.48 is: 10,660.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,440 : 17,169.12 = 7,724.48 : x
  2. Step 2: Convert to fraction form
    12,440/17,169.12 = 7,724.48/x
  3. Step 3: Cross multiply
    12,440x = 17,169.12 × 7,724.48
  4. Step 4: Simplify right side
    12,440x = 132,622,524.06
  5. Step 5: Solve for x
    x = 132,622,524.06/12,440
  6. Step 6: Final answer
    x = 10,660.97

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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.