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Finding the Fourth Proportional to 17,114.69, 25,680.24 and 7,757.57

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Solution

The fourth proportional to 17,114.69, 25,680.24 and 7,757.57 is: 11,640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.69 : 25,680.24 = 7,757.57 : x
  2. Step 2: Convert to fraction form
    17,114.69/25,680.24 = 7,757.57/x
  3. Step 3: Cross multiply
    17,114.69x = 25,680.24 × 7,757.57
  4. Step 4: Simplify right side
    17,114.69x = 199,216,323.62
  5. Step 5: Solve for x
    x = 199,216,323.62/17,114.69
  6. Step 6: Final answer
    x = 11,640.08

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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.