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Finding the Fourth Proportional to 29,617.80, 40,872.46 and 16,189.04

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Solution

The fourth proportional to 29,617.80, 40,872.46 and 16,189.04 is: 22,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,617.80 : 40,872.46 = 16,189.04 : x
  2. Step 2: Convert to fraction form
    29,617.80/40,872.46 = 16,189.04/x
  3. Step 3: Cross multiply
    29,617.80x = 40,872.46 × 16,189.04
  4. Step 4: Simplify right side
    29,617.80x = 661,685,951.55
  5. Step 5: Solve for x
    x = 661,685,951.55/29,617.80
  6. Step 6: Final answer
    x = 22,340.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.