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Finding the Fourth Proportional to 26,656, 39,940.22 and 9,116.26

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Solution

The fourth proportional to 26,656, 39,940.22 and 9,116.26 is: 13,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,656 : 39,940.22 = 9,116.26 : x
  2. Step 2: Convert to fraction form
    26,656/39,940.22 = 9,116.26/x
  3. Step 3: Cross multiply
    26,656x = 39,940.22 × 9,116.26
  4. Step 4: Simplify right side
    26,656x = 364,105,429.98
  5. Step 5: Solve for x
    x = 364,105,429.98/26,656
  6. Step 6: Final answer
    x = 13,659.42

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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.