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Finding the Fourth Proportional to 17,147.68, 25,723.91 and 5,302.42

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Solution

The fourth proportional to 17,147.68, 25,723.91 and 5,302.42 is: 7,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,147.68 : 25,723.91 = 5,302.42 : x
  2. Step 2: Convert to fraction form
    17,147.68/25,723.91 = 5,302.42/x
  3. Step 3: Cross multiply
    17,147.68x = 25,723.91 × 5,302.42
  4. Step 4: Simplify right side
    17,147.68x = 136,398,974.86
  5. Step 5: Solve for x
    x = 136,398,974.86/17,147.68
  6. Step 6: Final answer
    x = 7,954.37

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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.