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Finding the Fourth Proportional to 22,298.96, 33,447.48 and 5,882.96

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Solution

The fourth proportional to 22,298.96, 33,447.48 and 5,882.96 is: 8,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298.96 : 33,447.48 = 5,882.96 : x
  2. Step 2: Convert to fraction form
    22,298.96/33,447.48 = 5,882.96/x
  3. Step 3: Cross multiply
    22,298.96x = 33,447.48 × 5,882.96
  4. Step 4: Simplify right side
    22,298.96x = 196,770,186.94
  5. Step 5: Solve for x
    x = 196,770,186.94/22,298.96
  6. Step 6: Final answer
    x = 8,824.19

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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.