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Finding the Fourth Proportional to 29,658.20, 40,928.32 and 16,229.46

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Solution

The fourth proportional to 29,658.20, 40,928.32 and 16,229.46 is: 22,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,658.20 : 40,928.32 = 16,229.46 : x
  2. Step 2: Convert to fraction form
    29,658.20/40,928.32 = 16,229.46/x
  3. Step 3: Cross multiply
    29,658.20x = 40,928.32 × 16,229.46
  4. Step 4: Simplify right side
    29,658.20x = 664,244,384.56
  5. Step 5: Solve for x
    x = 664,244,384.56/29,658.20
  6. Step 6: Final answer
    x = 22,396.65

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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.