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Finding the Fourth Proportional to 22,823.28, 34,241.47 and 13,471.83

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Solution

The fourth proportional to 22,823.28, 34,241.47 and 13,471.83 is: 20,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.28 : 34,241.47 = 13,471.83 : x
  2. Step 2: Convert to fraction form
    22,823.28/34,241.47 = 13,471.83/x
  3. Step 3: Cross multiply
    22,823.28x = 34,241.47 × 13,471.83
  4. Step 4: Simplify right side
    22,823.28x = 461,295,229.11
  5. Step 5: Solve for x
    x = 461,295,229.11/22,823.28
  6. Step 6: Final answer
    x = 20,211.61

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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.