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Finding the Fourth Proportional to 19,661.92, 29,505 and 7,975.24

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Solution

The fourth proportional to 19,661.92, 29,505 and 7,975.24 is: 11,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,661.92 : 29,505 = 7,975.24 : x
  2. Step 2: Convert to fraction form
    19,661.92/29,505 = 7,975.24/x
  3. Step 3: Cross multiply
    19,661.92x = 29,505 × 7,975.24
  4. Step 4: Simplify right side
    19,661.92x = 235,309,456.20
  5. Step 5: Solve for x
    x = 235,309,456.20/19,661.92
  6. Step 6: Final answer
    x = 11,967.78

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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.