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Finding the Fourth Proportional to 15,844.20, 23,769 and 5,453.52

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Solution

The fourth proportional to 15,844.20, 23,769 and 5,453.52 is: 8,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,844.20 : 23,769 = 5,453.52 : x
  2. Step 2: Convert to fraction form
    15,844.20/23,769 = 5,453.52/x
  3. Step 3: Cross multiply
    15,844.20x = 23,769 × 5,453.52
  4. Step 4: Simplify right side
    15,844.20x = 129,624,716.88
  5. Step 5: Solve for x
    x = 129,624,716.88/15,844.20
  6. Step 6: Final answer
    x = 8,181.21

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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.