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Finding the Fourth Proportional to 13,741, 20,606.60 and 5,945.56

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Solution

The fourth proportional to 13,741, 20,606.60 and 5,945.56 is: 8,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741 : 20,606.60 = 5,945.56 : x
  2. Step 2: Convert to fraction form
    13,741/20,606.60 = 5,945.56/x
  3. Step 3: Cross multiply
    13,741x = 20,606.60 × 5,945.56
  4. Step 4: Simplify right side
    13,741x = 122,517,776.70
  5. Step 5: Solve for x
    x = 122,517,776.70/13,741
  6. Step 6: Final answer
    x = 8,916.22

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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.