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Finding the Fourth Proportional to 26,900.44, 40,357.14 and 8,432.44

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Solution

The fourth proportional to 26,900.44, 40,357.14 and 8,432.44 is: 12,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,900.44 : 40,357.14 = 8,432.44 : x
  2. Step 2: Convert to fraction form
    26,900.44/40,357.14 = 8,432.44/x
  3. Step 3: Cross multiply
    26,900.44x = 40,357.14 × 8,432.44
  4. Step 4: Simplify right side
    26,900.44x = 340,309,161.62
  5. Step 5: Solve for x
    x = 340,309,161.62/26,900.44
  6. Step 6: Final answer
    x = 12,650.69

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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.