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Finding the Fourth Proportional to 26,900.38, 40,357.04 and 8,432.38

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Solution

The fourth proportional to 26,900.38, 40,357.04 and 8,432.38 is: 12,650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,900.38 : 40,357.04 = 8,432.38 : x
  2. Step 2: Convert to fraction form
    26,900.38/40,357.04 = 8,432.38/x
  3. Step 3: Cross multiply
    26,900.38x = 40,357.04 × 8,432.38
  4. Step 4: Simplify right side
    26,900.38x = 340,305,896.96
  5. Step 5: Solve for x
    x = 340,305,896.96/26,900.38
  6. Step 6: Final answer
    x = 12,650.60

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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.