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Finding the Fourth Proportional to 29,297.70, 43,912.83 and 14,516.31

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Solution

The fourth proportional to 29,297.70, 43,912.83 and 14,516.31 is: 21,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,297.70 : 43,912.83 = 14,516.31 : x
  2. Step 2: Convert to fraction form
    29,297.70/43,912.83 = 14,516.31/x
  3. Step 3: Cross multiply
    29,297.70x = 43,912.83 × 14,516.31
  4. Step 4: Simplify right side
    29,297.70x = 637,452,472.37
  5. Step 5: Solve for x
    x = 637,452,472.37/29,297.70
  6. Step 6: Final answer
    x = 21,757.77

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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.