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Finding the Fourth Proportional to 13,805.88, 20,716.14 and 10,539.96

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Solution

The fourth proportional to 13,805.88, 20,716.14 and 10,539.96 is: 15,815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.88 : 20,716.14 = 10,539.96 : x
  2. Step 2: Convert to fraction form
    13,805.88/20,716.14 = 10,539.96/x
  3. Step 3: Cross multiply
    13,805.88x = 20,716.14 × 10,539.96
  4. Step 4: Simplify right side
    13,805.88x = 218,347,286.95
  5. Step 5: Solve for x
    x = 218,347,286.95/13,805.88
  6. Step 6: Final answer
    x = 15,815.53

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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.