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Finding the Fourth Proportional to 11,861.72, 17,684.46 and 11,558.78

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Solution

The fourth proportional to 11,861.72, 17,684.46 and 11,558.78 is: 17,232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.72 : 17,684.46 = 11,558.78 : x
  2. Step 2: Convert to fraction form
    11,861.72/17,684.46 = 11,558.78/x
  3. Step 3: Cross multiply
    11,861.72x = 17,684.46 × 11,558.78
  4. Step 4: Simplify right side
    11,861.72x = 204,410,782.56
  5. Step 5: Solve for x
    x = 204,410,782.56/11,861.72
  6. Step 6: Final answer
    x = 17,232.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.