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Finding the Fourth Proportional to 17,494.25, 26,250.42 and 6,962

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Solution

The fourth proportional to 17,494.25, 26,250.42 and 6,962 is: 10,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,494.25 : 26,250.42 = 6,962 : x
  2. Step 2: Convert to fraction form
    17,494.25/26,250.42 = 6,962/x
  3. Step 3: Cross multiply
    17,494.25x = 26,250.42 × 6,962
  4. Step 4: Simplify right side
    17,494.25x = 182,755,424.04
  5. Step 5: Solve for x
    x = 182,755,424.04/17,494.25
  6. Step 6: Final answer
    x = 10,446.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.