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Finding the Fourth Proportional to 11,945.56, 17,885.94 and 8,243.32

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Solution

The fourth proportional to 11,945.56, 17,885.94 and 8,243.32 is: 12,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945.56 : 17,885.94 = 8,243.32 : x
  2. Step 2: Convert to fraction form
    11,945.56/17,885.94 = 8,243.32/x
  3. Step 3: Cross multiply
    11,945.56x = 17,885.94 × 8,243.32
  4. Step 4: Simplify right side
    11,945.56x = 147,439,526.92
  5. Step 5: Solve for x
    x = 147,439,526.92/11,945.56
  6. Step 6: Final answer
    x = 12,342.62

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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.