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Finding the Fourth Proportional to 29,989.56, 41,388.12 and 17,414.04

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Solution

The fourth proportional to 29,989.56, 41,388.12 and 17,414.04 is: 24,032.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,989.56 : 41,388.12 = 17,414.04 : x
  2. Step 2: Convert to fraction form
    29,989.56/41,388.12 = 17,414.04/x
  3. Step 3: Cross multiply
    29,989.56x = 41,388.12 × 17,414.04
  4. Step 4: Simplify right side
    29,989.56x = 720,734,377.20
  5. Step 5: Solve for x
    x = 720,734,377.20/29,989.56
  6. Step 6: Final answer
    x = 24,032.84

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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.