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Finding the Fourth Proportional to 17,077.14, 25,616.10 and 5,231.16

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Solution

The fourth proportional to 17,077.14, 25,616.10 and 5,231.16 is: 7,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.14 : 25,616.10 = 5,231.16 : x
  2. Step 2: Convert to fraction form
    17,077.14/25,616.10 = 5,231.16/x
  3. Step 3: Cross multiply
    17,077.14x = 25,616.10 × 5,231.16
  4. Step 4: Simplify right side
    17,077.14x = 134,001,917.68
  5. Step 5: Solve for x
    x = 134,001,917.68/17,077.14
  6. Step 6: Final answer
    x = 7,846.86

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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.