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Finding the Fourth Proportional to 26,464, 39,697.44 and 7,997.44

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Solution

The fourth proportional to 26,464, 39,697.44 and 7,997.44 is: 11,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,464 : 39,697.44 = 7,997.44 : x
  2. Step 2: Convert to fraction form
    26,464/39,697.44 = 7,997.44/x
  3. Step 3: Cross multiply
    26,464x = 39,697.44 × 7,997.44
  4. Step 4: Simplify right side
    26,464x = 317,477,894.55
  5. Step 5: Solve for x
    x = 317,477,894.55/26,464
  6. Step 6: Final answer
    x = 11,996.60

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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.