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Finding the Fourth Proportional to 24,813.44, 37,225.29 and 8,174.49

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Solution

The fourth proportional to 24,813.44, 37,225.29 and 8,174.49 is: 12,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,813.44 : 37,225.29 = 8,174.49 : x
  2. Step 2: Convert to fraction form
    24,813.44/37,225.29 = 8,174.49/x
  3. Step 3: Cross multiply
    24,813.44x = 37,225.29 × 8,174.49
  4. Step 4: Simplify right side
    24,813.44x = 304,297,760.85
  5. Step 5: Solve for x
    x = 304,297,760.85/24,813.44
  6. Step 6: Final answer
    x = 12,263.43

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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.