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Finding the Fourth Proportional to 25,174.27, 37,761.54 and 7,644.25

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Solution

The fourth proportional to 25,174.27, 37,761.54 and 7,644.25 is: 11,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,174.27 : 37,761.54 = 7,644.25 : x
  2. Step 2: Convert to fraction form
    25,174.27/37,761.54 = 7,644.25/x
  3. Step 3: Cross multiply
    25,174.27x = 37,761.54 × 7,644.25
  4. Step 4: Simplify right side
    25,174.27x = 288,658,652.15
  5. Step 5: Solve for x
    x = 288,658,652.15/25,174.27
  6. Step 6: Final answer
    x = 11,466.42

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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.