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Finding the Fourth Proportional to 17,140.29, 25,704.93 and 5,450.78

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Solution

The fourth proportional to 17,140.29, 25,704.93 and 5,450.78 is: 8,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.29 : 25,704.93 = 5,450.78 : x
  2. Step 2: Convert to fraction form
    17,140.29/25,704.93 = 5,450.78/x
  3. Step 3: Cross multiply
    17,140.29x = 25,704.93 × 5,450.78
  4. Step 4: Simplify right side
    17,140.29x = 140,111,789.82
  5. Step 5: Solve for x
    x = 140,111,789.82/17,140.29
  6. Step 6: Final answer
    x = 8,174.41

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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.