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Finding the Fourth Proportional to 13,697.73, 20,545 and 3,837.80

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Solution

The fourth proportional to 13,697.73, 20,545 and 3,837.80 is: 5,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.73 : 20,545 = 3,837.80 : x
  2. Step 2: Convert to fraction form
    13,697.73/20,545 = 3,837.80/x
  3. Step 3: Cross multiply
    13,697.73x = 20,545 × 3,837.80
  4. Step 4: Simplify right side
    13,697.73x = 78,847,601
  5. Step 5: Solve for x
    x = 78,847,601/13,697.73
  6. Step 6: Final answer
    x = 5,756.25

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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.