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Finding the Fourth Proportional to 17,162.96, 25,738.12 and 5,916

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Solution

The fourth proportional to 17,162.96, 25,738.12 and 5,916 is: 8,871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,162.96 : 25,738.12 = 5,916 : x
  2. Step 2: Convert to fraction form
    17,162.96/25,738.12 = 5,916/x
  3. Step 3: Cross multiply
    17,162.96x = 25,738.12 × 5,916
  4. Step 4: Simplify right side
    17,162.96x = 152,266,717.92
  5. Step 5: Solve for x
    x = 152,266,717.92/17,162.96
  6. Step 6: Final answer
    x = 8,871.82

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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.