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Finding the Fourth Proportional to 12,462.17, 17,203.56 and 7,682.97

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Solution

The fourth proportional to 12,462.17, 17,203.56 and 7,682.97 is: 10,606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.17 : 17,203.56 = 7,682.97 : x
  2. Step 2: Convert to fraction form
    12,462.17/17,203.56 = 7,682.97/x
  3. Step 3: Cross multiply
    12,462.17x = 17,203.56 × 7,682.97
  4. Step 4: Simplify right side
    12,462.17x = 132,174,310.94
  5. Step 5: Solve for x
    x = 132,174,310.94/12,462.17
  6. Step 6: Final answer
    x = 10,606.04

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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.