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Finding the Fourth Proportional to 17,324.14, 25,988.94 and 5,634.64

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Solution

The fourth proportional to 17,324.14, 25,988.94 and 5,634.64 is: 8,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,324.14 : 25,988.94 = 5,634.64 : x
  2. Step 2: Convert to fraction form
    17,324.14/25,988.94 = 5,634.64/x
  3. Step 3: Cross multiply
    17,324.14x = 25,988.94 × 5,634.64
  4. Step 4: Simplify right side
    17,324.14x = 146,438,320.88
  5. Step 5: Solve for x
    x = 146,438,320.88/17,324.14
  6. Step 6: Final answer
    x = 8,452.85

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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.