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Finding the Fourth Proportional to 16,812.56, 23,201.34 and 9,743.09

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Solution

The fourth proportional to 16,812.56, 23,201.34 and 9,743.09 is: 13,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,812.56 : 23,201.34 = 9,743.09 : x
  2. Step 2: Convert to fraction form
    16,812.56/23,201.34 = 9,743.09/x
  3. Step 3: Cross multiply
    16,812.56x = 23,201.34 × 9,743.09
  4. Step 4: Simplify right side
    16,812.56x = 226,052,591.20
  5. Step 5: Solve for x
    x = 226,052,591.20/16,812.56
  6. Step 6: Final answer
    x = 13,445.46

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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.