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Finding the Fourth Proportional to 17,431.79, 26,151.78 and 5,745

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Solution

The fourth proportional to 17,431.79, 26,151.78 and 5,745 is: 8,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,431.79 : 26,151.78 = 5,745 : x
  2. Step 2: Convert to fraction form
    17,431.79/26,151.78 = 5,745/x
  3. Step 3: Cross multiply
    17,431.79x = 26,151.78 × 5,745
  4. Step 4: Simplify right side
    17,431.79x = 150,241,976.10
  5. Step 5: Solve for x
    x = 150,241,976.10/17,431.79
  6. Step 6: Final answer
    x = 8,618.85

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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.