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Finding the Fourth Proportional to 25,174.67, 37,759.57 and 7,644.65

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Solution

The fourth proportional to 25,174.67, 37,759.57 and 7,644.65 is: 11,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,174.67 : 37,759.57 = 7,644.65 : x
  2. Step 2: Convert to fraction form
    25,174.67/37,759.57 = 7,644.65/x
  3. Step 3: Cross multiply
    25,174.67x = 37,759.57 × 7,644.65
  4. Step 4: Simplify right side
    25,174.67x = 288,658,772.09
  5. Step 5: Solve for x
    x = 288,658,772.09/25,174.67
  6. Step 6: Final answer
    x = 11,466.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.