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Finding the Fourth Proportional to 17,142.81, 25,704.97 and 7,777.72

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Solution

The fourth proportional to 17,142.81, 25,704.97 and 7,777.72 is: 11,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.81 : 25,704.97 = 7,777.72 : x
  2. Step 2: Convert to fraction form
    17,142.81/25,704.97 = 7,777.72/x
  3. Step 3: Cross multiply
    17,142.81x = 25,704.97 × 7,777.72
  4. Step 4: Simplify right side
    17,142.81x = 199,925,891.85
  5. Step 5: Solve for x
    x = 199,925,891.85/17,142.81
  6. Step 6: Final answer
    x = 11,662.38

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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.