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Finding the Fourth Proportional to 23,211.25, 32,057.90 and 15,644.54

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Solution

The fourth proportional to 23,211.25, 32,057.90 and 15,644.54 is: 21,607.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,211.25 : 32,057.90 = 15,644.54 : x
  2. Step 2: Convert to fraction form
    23,211.25/32,057.90 = 15,644.54/x
  3. Step 3: Cross multiply
    23,211.25x = 32,057.90 × 15,644.54
  4. Step 4: Simplify right side
    23,211.25x = 501,530,977.69
  5. Step 5: Solve for x
    x = 501,530,977.69/23,211.25
  6. Step 6: Final answer
    x = 21,607.24

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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.