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Finding the Fourth Proportional to 36,213.84, 54,314.46 and 9,912.30

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Solution

The fourth proportional to 36,213.84, 54,314.46 and 9,912.30 is: 14,866.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,213.84 : 54,314.46 = 9,912.30 : x
  2. Step 2: Convert to fraction form
    36,213.84/54,314.46 = 9,912.30/x
  3. Step 3: Cross multiply
    36,213.84x = 54,314.46 × 9,912.30
  4. Step 4: Simplify right side
    36,213.84x = 538,381,221.86
  5. Step 5: Solve for x
    x = 538,381,221.86/36,213.84
  6. Step 6: Final answer
    x = 14,866.73

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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.