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Finding the Fourth Proportional to 11,817.82, 16,293.42 and 9,685.62

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Solution

The fourth proportional to 11,817.82, 16,293.42 and 9,685.62 is: 13,353.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.82 : 16,293.42 = 9,685.62 : x
  2. Step 2: Convert to fraction form
    11,817.82/16,293.42 = 9,685.62/x
  3. Step 3: Cross multiply
    11,817.82x = 16,293.42 × 9,685.62
  4. Step 4: Simplify right side
    11,817.82x = 157,811,874.62
  5. Step 5: Solve for x
    x = 157,811,874.62/11,817.82
  6. Step 6: Final answer
    x = 13,353.72

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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.