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Finding the Fourth Proportional to 13,801.56, 20,695 and 10,112.80

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Solution

The fourth proportional to 13,801.56, 20,695 and 10,112.80 is: 15,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.56 : 20,695 = 10,112.80 : x
  2. Step 2: Convert to fraction form
    13,801.56/20,695 = 10,112.80/x
  3. Step 3: Cross multiply
    13,801.56x = 20,695 × 10,112.80
  4. Step 4: Simplify right side
    13,801.56x = 209,284,396.00
  5. Step 5: Solve for x
    x = 209,284,396.00/13,801.56
  6. Step 6: Final answer
    x = 15,163.82

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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.