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Finding the Fourth Proportional to 13,539.75, 20,307.23 and 3,679.80

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Solution

The fourth proportional to 13,539.75, 20,307.23 and 3,679.80 is: 5,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.75 : 20,307.23 = 3,679.80 : x
  2. Step 2: Convert to fraction form
    13,539.75/20,307.23 = 3,679.80/x
  3. Step 3: Cross multiply
    13,539.75x = 20,307.23 × 3,679.80
  4. Step 4: Simplify right side
    13,539.75x = 74,726,544.95
  5. Step 5: Solve for x
    x = 74,726,544.95/13,539.75
  6. Step 6: Final answer
    x = 5,519.05

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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.