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Finding the Fourth Proportional to 19,512.27, 29,269.62 and 7,823.97

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Solution

The fourth proportional to 19,512.27, 29,269.62 and 7,823.97 is: 11,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,512.27 : 29,269.62 = 7,823.97 : x
  2. Step 2: Convert to fraction form
    19,512.27/29,269.62 = 7,823.97/x
  3. Step 3: Cross multiply
    19,512.27x = 29,269.62 × 7,823.97
  4. Step 4: Simplify right side
    19,512.27x = 229,004,628.79
  5. Step 5: Solve for x
    x = 229,004,628.79/19,512.27
  6. Step 6: Final answer
    x = 11,736.44

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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.