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Finding the Fourth Proportional to 12,442.24, 17,169.01 and 7,661.42

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Solution

The fourth proportional to 12,442.24, 17,169.01 and 7,661.42 is: 10,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.24 : 17,169.01 = 7,661.42 : x
  2. Step 2: Convert to fraction form
    12,442.24/17,169.01 = 7,661.42/x
  3. Step 3: Cross multiply
    12,442.24x = 17,169.01 × 7,661.42
  4. Step 4: Simplify right side
    12,442.24x = 131,538,996.59
  5. Step 5: Solve for x
    x = 131,538,996.59/12,442.24
  6. Step 6: Final answer
    x = 10,571.97

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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.