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Finding the Fourth Proportional to 24,311.72, 36,474.06 and 8,729.48

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Solution

The fourth proportional to 24,311.72, 36,474.06 and 8,729.48 is: 13,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311.72 : 36,474.06 = 8,729.48 : x
  2. Step 2: Convert to fraction form
    24,311.72/36,474.06 = 8,729.48/x
  3. Step 3: Cross multiply
    24,311.72x = 36,474.06 × 8,729.48
  4. Step 4: Simplify right side
    24,311.72x = 318,399,394.92
  5. Step 5: Solve for x
    x = 318,399,394.92/24,311.72
  6. Step 6: Final answer
    x = 13,096.54

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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.