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Finding the Fourth Proportional to 17,181.16, 25,771.74 and 7,945.96

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Solution

The fourth proportional to 17,181.16, 25,771.74 and 7,945.96 is: 11,918.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,181.16 : 25,771.74 = 7,945.96 : x
  2. Step 2: Convert to fraction form
    17,181.16/25,771.74 = 7,945.96/x
  3. Step 3: Cross multiply
    17,181.16x = 25,771.74 × 7,945.96
  4. Step 4: Simplify right side
    17,181.16x = 204,781,215.17
  5. Step 5: Solve for x
    x = 204,781,215.17/17,181.16
  6. Step 6: Final answer
    x = 11,918.94

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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.