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Finding the Fourth Proportional to 13,605.84, 20,412.09 and 5,286.42

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Solution

The fourth proportional to 13,605.84, 20,412.09 and 5,286.42 is: 7,930.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.84 : 20,412.09 = 5,286.42 : x
  2. Step 2: Convert to fraction form
    13,605.84/20,412.09 = 5,286.42/x
  3. Step 3: Cross multiply
    13,605.84x = 20,412.09 × 5,286.42
  4. Step 4: Simplify right side
    13,605.84x = 107,906,880.82
  5. Step 5: Solve for x
    x = 107,906,880.82/13,605.84
  6. Step 6: Final answer
    x = 7,930.92

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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.