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Finding the Fourth Proportional to 13,644.92, 18,823.09 and 7,975.96

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Solution

The fourth proportional to 13,644.92, 18,823.09 and 7,975.96 is: 11,002.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.92 : 18,823.09 = 7,975.96 : x
  2. Step 2: Convert to fraction form
    13,644.92/18,823.09 = 7,975.96/x
  3. Step 3: Cross multiply
    13,644.92x = 18,823.09 × 7,975.96
  4. Step 4: Simplify right side
    13,644.92x = 150,132,212.92
  5. Step 5: Solve for x
    x = 150,132,212.92/13,644.92
  6. Step 6: Final answer
    x = 11,002.79

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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.