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Finding the Fourth Proportional to 26,299, 39,455.34 and 7,831

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Solution

The fourth proportional to 26,299, 39,455.34 and 7,831 is: 11,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,299 : 39,455.34 = 7,831 : x
  2. Step 2: Convert to fraction form
    26,299/39,455.34 = 7,831/x
  3. Step 3: Cross multiply
    26,299x = 39,455.34 × 7,831
  4. Step 4: Simplify right side
    26,299x = 308,974,767.54
  5. Step 5: Solve for x
    x = 308,974,767.54/26,299
  6. Step 6: Final answer
    x = 11,748.54

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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.