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Finding the Fourth Proportional to 26,791.20, 40,129.20 and 16,423.20

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Solution

The fourth proportional to 26,791.20, 40,129.20 and 16,423.20 is: 24,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,791.20 : 40,129.20 = 16,423.20 : x
  2. Step 2: Convert to fraction form
    26,791.20/40,129.20 = 16,423.20/x
  3. Step 3: Cross multiply
    26,791.20x = 40,129.20 × 16,423.20
  4. Step 4: Simplify right side
    26,791.20x = 659,049,877.44
  5. Step 5: Solve for x
    x = 659,049,877.44/26,791.20
  6. Step 6: Final answer
    x = 24,599.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.