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Finding the Fourth Proportional to 23,201.27, 34,804.22 and 6,561.44

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Solution

The fourth proportional to 23,201.27, 34,804.22 and 6,561.44 is: 9,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.27 : 34,804.22 = 6,561.44 : x
  2. Step 2: Convert to fraction form
    23,201.27/34,804.22 = 6,561.44/x
  3. Step 3: Cross multiply
    23,201.27x = 34,804.22 × 6,561.44
  4. Step 4: Simplify right side
    23,201.27x = 228,365,724.96
  5. Step 5: Solve for x
    x = 228,365,724.96/23,201.27
  6. Step 6: Final answer
    x = 9,842.81

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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.