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Finding the Fourth Proportional to 12,466.52, 17,203.62 and 7,161.56

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Solution

The fourth proportional to 12,466.52, 17,203.62 and 7,161.56 is: 9,882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.52 : 17,203.62 = 7,161.56 : x
  2. Step 2: Convert to fraction form
    12,466.52/17,203.62 = 7,161.56/x
  3. Step 3: Cross multiply
    12,466.52x = 17,203.62 × 7,161.56
  4. Step 4: Simplify right side
    12,466.52x = 123,204,756.85
  5. Step 5: Solve for x
    x = 123,204,756.85/12,466.52
  6. Step 6: Final answer
    x = 9,882.85

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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.