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Finding the Fourth Proportional to 17,142.69, 25,717.26 and 7,783.37

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Solution

The fourth proportional to 17,142.69, 25,717.26 and 7,783.37 is: 11,676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.69 : 25,717.26 = 7,783.37 : x
  2. Step 2: Convert to fraction form
    17,142.69/25,717.26 = 7,783.37/x
  3. Step 3: Cross multiply
    17,142.69x = 25,717.26 × 7,783.37
  4. Step 4: Simplify right side
    17,142.69x = 200,166,949.97
  5. Step 5: Solve for x
    x = 200,166,949.97/17,142.69
  6. Step 6: Final answer
    x = 11,676.52

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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.