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Finding the Fourth Proportional to 13,939.68, 20,902.96 and 8,097.92

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Solution

The fourth proportional to 13,939.68, 20,902.96 and 8,097.92 is: 12,143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,939.68 : 20,902.96 = 8,097.92 : x
  2. Step 2: Convert to fraction form
    13,939.68/20,902.96 = 8,097.92/x
  3. Step 3: Cross multiply
    13,939.68x = 20,902.96 × 8,097.92
  4. Step 4: Simplify right side
    13,939.68x = 169,270,497.84
  5. Step 5: Solve for x
    x = 169,270,497.84/13,939.68
  6. Step 6: Final answer
    x = 12,143.07

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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.