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Finding the Fourth Proportional to 13,385.62, 20,096.82 and 6,816.22

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Solution

The fourth proportional to 13,385.62, 20,096.82 and 6,816.22 is: 10,233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.62 : 20,096.82 = 6,816.22 : x
  2. Step 2: Convert to fraction form
    13,385.62/20,096.82 = 6,816.22/x
  3. Step 3: Cross multiply
    13,385.62x = 20,096.82 × 6,816.22
  4. Step 4: Simplify right side
    13,385.62x = 136,984,346.42
  5. Step 5: Solve for x
    x = 136,984,346.42/13,385.62
  6. Step 6: Final answer
    x = 10,233.69

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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.