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Finding the Fourth Proportional to 29,682, 40,961.16 and 17,107.56

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Solution

The fourth proportional to 29,682, 40,961.16 and 17,107.56 is: 23,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682 : 40,961.16 = 17,107.56 : x
  2. Step 2: Convert to fraction form
    29,682/40,961.16 = 17,107.56/x
  3. Step 3: Cross multiply
    29,682x = 40,961.16 × 17,107.56
  4. Step 4: Simplify right side
    29,682x = 700,745,502.37
  5. Step 5: Solve for x
    x = 700,745,502.37/29,682
  6. Step 6: Final answer
    x = 23,608.43

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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.