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Finding the Fourth Proportional to 26,734.50, 40,103.91 and 8,266.50

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Solution

The fourth proportional to 26,734.50, 40,103.91 and 8,266.50 is: 12,400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,734.50 : 40,103.91 = 8,266.50 : x
  2. Step 2: Convert to fraction form
    26,734.50/40,103.91 = 8,266.50/x
  3. Step 3: Cross multiply
    26,734.50x = 40,103.91 × 8,266.50
  4. Step 4: Simplify right side
    26,734.50x = 331,518,972.02
  5. Step 5: Solve for x
    x = 331,518,972.02/26,734.50
  6. Step 6: Final answer
    x = 12,400.42

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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.