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Finding the Fourth Proportional to 16,813.56, 23,202.72 and 9,744.09

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Solution

The fourth proportional to 16,813.56, 23,202.72 and 9,744.09 is: 13,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813.56 : 23,202.72 = 9,744.09 : x
  2. Step 2: Convert to fraction form
    16,813.56/23,202.72 = 9,744.09/x
  3. Step 3: Cross multiply
    16,813.56x = 23,202.72 × 9,744.09
  4. Step 4: Simplify right side
    16,813.56x = 226,089,391.92
  5. Step 5: Solve for x
    x = 226,089,391.92/16,813.56
  6. Step 6: Final answer
    x = 13,446.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.