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Finding the Fourth Proportional to 25,174.23, 37,761.36 and 7,649.07

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Solution

The fourth proportional to 25,174.23, 37,761.36 and 7,649.07 is: 11,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,174.23 : 37,761.36 = 7,649.07 : x
  2. Step 2: Convert to fraction form
    25,174.23/37,761.36 = 7,649.07/x
  3. Step 3: Cross multiply
    25,174.23x = 37,761.36 × 7,649.07
  4. Step 4: Simplify right side
    25,174.23x = 288,839,285.94
  5. Step 5: Solve for x
    x = 288,839,285.94/25,174.23
  6. Step 6: Final answer
    x = 11,473.61

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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.