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Finding the Fourth Proportional to 13,782.28, 20,673.18 and 3,921.64

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Solution

The fourth proportional to 13,782.28, 20,673.18 and 3,921.64 is: 5,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.28 : 20,673.18 = 3,921.64 : x
  2. Step 2: Convert to fraction form
    13,782.28/20,673.18 = 3,921.64/x
  3. Step 3: Cross multiply
    13,782.28x = 20,673.18 × 3,921.64
  4. Step 4: Simplify right side
    13,782.28x = 81,072,769.62
  5. Step 5: Solve for x
    x = 81,072,769.62/13,782.28
  6. Step 6: Final answer
    x = 5,882.39

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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.