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Finding the Fourth Proportional to 11,832.36, 16,343.19 and 8,861.46

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Solution

The fourth proportional to 11,832.36, 16,343.19 and 8,861.46 is: 12,239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.36 : 16,343.19 = 8,861.46 : x
  2. Step 2: Convert to fraction form
    11,832.36/16,343.19 = 8,861.46/x
  3. Step 3: Cross multiply
    11,832.36x = 16,343.19 × 8,861.46
  4. Step 4: Simplify right side
    11,832.36x = 144,824,524.46
  5. Step 5: Solve for x
    x = 144,824,524.46/11,832.36
  6. Step 6: Final answer
    x = 12,239.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.