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Finding the Fourth Proportional to 17,140.38, 25,710.21 and 7,906.38

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Solution

The fourth proportional to 17,140.38, 25,710.21 and 7,906.38 is: 11,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.38 : 25,710.21 = 7,906.38 : x
  2. Step 2: Convert to fraction form
    17,140.38/25,710.21 = 7,906.38/x
  3. Step 3: Cross multiply
    17,140.38x = 25,710.21 × 7,906.38
  4. Step 4: Simplify right side
    17,140.38x = 203,274,690.14
  5. Step 5: Solve for x
    x = 203,274,690.14/17,140.38
  6. Step 6: Final answer
    x = 11,859.40

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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.