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Finding the Fourth Proportional to 26,468, 39,708.48 and 8,000

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Solution

The fourth proportional to 26,468, 39,708.48 and 8,000 is: 12,001.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,468 : 39,708.48 = 8,000 : x
  2. Step 2: Convert to fraction form
    26,468/39,708.48 = 8,000/x
  3. Step 3: Cross multiply
    26,468x = 39,708.48 × 8,000
  4. Step 4: Simplify right side
    26,468x = 317,667,840
  5. Step 5: Solve for x
    x = 317,667,840/26,468
  6. Step 6: Final answer
    x = 12,001.96

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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.