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Finding the Fourth Proportional to 26,899.38, 40,355.54 and 8,431.38

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Solution

The fourth proportional to 26,899.38, 40,355.54 and 8,431.38 is: 12,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,899.38 : 40,355.54 = 8,431.38 : x
  2. Step 2: Convert to fraction form
    26,899.38/40,355.54 = 8,431.38/x
  3. Step 3: Cross multiply
    26,899.38x = 40,355.54 × 8,431.38
  4. Step 4: Simplify right side
    26,899.38x = 340,252,712.15
  5. Step 5: Solve for x
    x = 340,252,712.15/26,899.38
  6. Step 6: Final answer
    x = 12,649.09

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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.