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Finding the Fourth Proportional to 13,816.98, 20,722.64 and 11,491.97

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Solution

The fourth proportional to 13,816.98, 20,722.64 and 11,491.97 is: 17,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.98 : 20,722.64 = 11,491.97 : x
  2. Step 2: Convert to fraction form
    13,816.98/20,722.64 = 11,491.97/x
  3. Step 3: Cross multiply
    13,816.98x = 20,722.64 × 11,491.97
  4. Step 4: Simplify right side
    13,816.98x = 238,143,796.13
  5. Step 5: Solve for x
    x = 238,143,796.13/13,816.98
  6. Step 6: Final answer
    x = 17,235.59

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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.