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Finding the Fourth Proportional to 24,843.31, 37,263.97 and 8,202.85

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Solution

The fourth proportional to 24,843.31, 37,263.97 and 8,202.85 is: 12,303.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.31 : 37,263.97 = 8,202.85 : x
  2. Step 2: Convert to fraction form
    24,843.31/37,263.97 = 8,202.85/x
  3. Step 3: Cross multiply
    24,843.31x = 37,263.97 × 8,202.85
  4. Step 4: Simplify right side
    24,843.31x = 305,670,756.31
  5. Step 5: Solve for x
    x = 305,670,756.31/24,843.31
  6. Step 6: Final answer
    x = 12,303.95

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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.