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Finding the Fourth Proportional to 17,494, 26,241.72 and 5,182

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Solution

The fourth proportional to 17,494, 26,241.72 and 5,182 is: 7,773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,494 : 26,241.72 = 5,182 : x
  2. Step 2: Convert to fraction form
    17,494/26,241.72 = 5,182/x
  3. Step 3: Cross multiply
    17,494x = 26,241.72 × 5,182
  4. Step 4: Simplify right side
    17,494x = 135,984,593.04
  5. Step 5: Solve for x
    x = 135,984,593.04/17,494
  6. Step 6: Final answer
    x = 7,773.21

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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.