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Finding the Fourth Proportional to 26,466, 39,699 and 11,874

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Solution

The fourth proportional to 26,466, 39,699 and 11,874 is: 17,811

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,466 : 39,699 = 11,874 : x
  2. Step 2: Convert to fraction form
    26,466/39,699 = 11,874/x
  3. Step 3: Cross multiply
    26,466x = 39,699 × 11,874
  4. Step 4: Simplify right side
    26,466x = 471,385,926
  5. Step 5: Solve for x
    x = 471,385,926/26,466
  6. Step 6: Final answer
    x = 17,811

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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.