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Finding the Fourth Proportional to 15,932.28, 23,893.62 and 7,608

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Solution

The fourth proportional to 15,932.28, 23,893.62 and 7,608 is: 11,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,932.28 : 23,893.62 = 7,608 : x
  2. Step 2: Convert to fraction form
    15,932.28/23,893.62 = 7,608/x
  3. Step 3: Cross multiply
    15,932.28x = 23,893.62 × 7,608
  4. Step 4: Simplify right side
    15,932.28x = 181,782,660.96
  5. Step 5: Solve for x
    x = 181,782,660.96/15,932.28
  6. Step 6: Final answer
    x = 11,409.71

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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.