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Finding the Fourth Proportional to 13,924.37, 20,848.89 and 10,198.37

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Solution

The fourth proportional to 13,924.37, 20,848.89 and 10,198.37 is: 15,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.37 : 20,848.89 = 10,198.37 : x
  2. Step 2: Convert to fraction form
    13,924.37/20,848.89 = 10,198.37/x
  3. Step 3: Cross multiply
    13,924.37x = 20,848.89 × 10,198.37
  4. Step 4: Simplify right side
    13,924.37x = 212,624,694.31
  5. Step 5: Solve for x
    x = 212,624,694.31/13,924.37
  6. Step 6: Final answer
    x = 15,269.97

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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.