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Finding the Fourth Proportional to 25,174.24, 37,758.92 and 7,644.22

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Solution

The fourth proportional to 25,174.24, 37,758.92 and 7,644.22 is: 11,465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,174.24 : 37,758.92 = 7,644.22 : x
  2. Step 2: Convert to fraction form
    25,174.24/37,758.92 = 7,644.22/x
  3. Step 3: Cross multiply
    25,174.24x = 37,758.92 × 7,644.22
  4. Step 4: Simplify right side
    25,174.24x = 288,637,491.44
  5. Step 5: Solve for x
    x = 288,637,491.44/25,174.24
  6. Step 6: Final answer
    x = 11,465.59

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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.