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Finding the Fourth Proportional to 24,821.37, 37,237.50 and 8,180.73

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Solution

The fourth proportional to 24,821.37, 37,237.50 and 8,180.73 is: 12,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,821.37 : 37,237.50 = 8,180.73 : x
  2. Step 2: Convert to fraction form
    24,821.37/37,237.50 = 8,180.73/x
  3. Step 3: Cross multiply
    24,821.37x = 37,237.50 × 8,180.73
  4. Step 4: Simplify right side
    24,821.37x = 304,629,933.38
  5. Step 5: Solve for x
    x = 304,629,933.38/24,821.37
  6. Step 6: Final answer
    x = 12,272.89

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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.