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Finding the Fourth Proportional to 22,410.48, 33,605.92 and 6,824.48

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Solution

The fourth proportional to 22,410.48, 33,605.92 and 6,824.48 is: 10,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,410.48 : 33,605.92 = 6,824.48 : x
  2. Step 2: Convert to fraction form
    22,410.48/33,605.92 = 6,824.48/x
  3. Step 3: Cross multiply
    22,410.48x = 33,605.92 × 6,824.48
  4. Step 4: Simplify right side
    22,410.48x = 229,342,928.92
  5. Step 5: Solve for x
    x = 229,342,928.92/22,410.48
  6. Step 6: Final answer
    x = 10,233.74

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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.