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Finding the Fourth Proportional to 11,940.18, 16,456.03 and 9,709.44

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Solution

The fourth proportional to 11,940.18, 16,456.03 and 9,709.44 is: 13,381.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.18 : 16,456.03 = 9,709.44 : x
  2. Step 2: Convert to fraction form
    11,940.18/16,456.03 = 9,709.44/x
  3. Step 3: Cross multiply
    11,940.18x = 16,456.03 × 9,709.44
  4. Step 4: Simplify right side
    11,940.18x = 159,778,835.92
  5. Step 5: Solve for x
    x = 159,778,835.92/11,940.18
  6. Step 6: Final answer
    x = 13,381.61

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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.