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Finding the Fourth Proportional to 25,174.31, 37,759.01 and 7,644.29

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Solution

The fourth proportional to 25,174.31, 37,759.01 and 7,644.29 is: 11,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,174.31 : 37,759.01 = 7,644.29 : x
  2. Step 2: Convert to fraction form
    25,174.31/37,759.01 = 7,644.29/x
  3. Step 3: Cross multiply
    25,174.31x = 37,759.01 × 7,644.29
  4. Step 4: Simplify right side
    25,174.31x = 288,640,595.54
  5. Step 5: Solve for x
    x = 288,640,595.54/25,174.31
  6. Step 6: Final answer
    x = 11,465.68

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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.