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Finding the Fourth Proportional to 26,926.98, 40,391.98 and 8,207.63

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Solution

The fourth proportional to 26,926.98, 40,391.98 and 8,207.63 is: 12,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,926.98 : 40,391.98 = 8,207.63 : x
  2. Step 2: Convert to fraction form
    26,926.98/40,391.98 = 8,207.63/x
  3. Step 3: Cross multiply
    26,926.98x = 40,391.98 × 8,207.63
  4. Step 4: Simplify right side
    26,926.98x = 331,522,401.97
  5. Step 5: Solve for x
    x = 331,522,401.97/26,926.98
  6. Step 6: Final answer
    x = 12,311.90

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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.