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Finding the Fourth Proportional to 13,107.81, 19,662.16 and 5,211.80

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Solution

The fourth proportional to 13,107.81, 19,662.16 and 5,211.80 is: 7,817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.81 : 19,662.16 = 5,211.80 : x
  2. Step 2: Convert to fraction form
    13,107.81/19,662.16 = 5,211.80/x
  3. Step 3: Cross multiply
    13,107.81x = 19,662.16 × 5,211.80
  4. Step 4: Simplify right side
    13,107.81x = 102,475,245.49
  5. Step 5: Solve for x
    x = 102,475,245.49/13,107.81
  6. Step 6: Final answer
    x = 7,817.88

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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.