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Finding the Fourth Proportional to 15,524.96, 23,286.96 and 3,838.17

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Solution

The fourth proportional to 15,524.96, 23,286.96 and 3,838.17 is: 5,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,524.96 : 23,286.96 = 3,838.17 : x
  2. Step 2: Convert to fraction form
    15,524.96/23,286.96 = 3,838.17/x
  3. Step 3: Cross multiply
    15,524.96x = 23,286.96 × 3,838.17
  4. Step 4: Simplify right side
    15,524.96x = 89,379,311.26
  5. Step 5: Solve for x
    x = 89,379,311.26/15,524.96
  6. Step 6: Final answer
    x = 5,757.14

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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.