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Finding the Fourth Proportional to 15,930.72, 23,896.08 and 5,542.46

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Solution

The fourth proportional to 15,930.72, 23,896.08 and 5,542.46 is: 8,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.72 : 23,896.08 = 5,542.46 : x
  2. Step 2: Convert to fraction form
    15,930.72/23,896.08 = 5,542.46/x
  3. Step 3: Cross multiply
    15,930.72x = 23,896.08 × 5,542.46
  4. Step 4: Simplify right side
    15,930.72x = 132,443,067.56
  5. Step 5: Solve for x
    x = 132,443,067.56/15,930.72
  6. Step 6: Final answer
    x = 8,313.69

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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.