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Finding the Fourth Proportional to 13,644.28, 20,471.26 and 7,805.80

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Solution

The fourth proportional to 13,644.28, 20,471.26 and 7,805.80 is: 11,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.28 : 20,471.26 = 7,805.80 : x
  2. Step 2: Convert to fraction form
    13,644.28/20,471.26 = 7,805.80/x
  3. Step 3: Cross multiply
    13,644.28x = 20,471.26 × 7,805.80
  4. Step 4: Simplify right side
    13,644.28x = 159,794,561.31
  5. Step 5: Solve for x
    x = 159,794,561.31/13,644.28
  6. Step 6: Final answer
    x = 11,711.47

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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.