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Finding the Fourth Proportional to 29,683.49, 44,524.85 and 11,922

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Solution

The fourth proportional to 29,683.49, 44,524.85 and 11,922 is: 17,882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,683.49 : 44,524.85 = 11,922 : x
  2. Step 2: Convert to fraction form
    29,683.49/44,524.85 = 11,922/x
  3. Step 3: Cross multiply
    29,683.49x = 44,524.85 × 11,922
  4. Step 4: Simplify right side
    29,683.49x = 530,825,202.09
  5. Step 5: Solve for x
    x = 530,825,202.09/29,683.49
  6. Step 6: Final answer
    x = 17,882.85

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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.