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Finding the Fourth Proportional to 13,882.60, 20,823.90 and 4,022.20

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Solution

The fourth proportional to 13,882.60, 20,823.90 and 4,022.20 is: 6,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.60 : 20,823.90 = 4,022.20 : x
  2. Step 2: Convert to fraction form
    13,882.60/20,823.90 = 4,022.20/x
  3. Step 3: Cross multiply
    13,882.60x = 20,823.90 × 4,022.20
  4. Step 4: Simplify right side
    13,882.60x = 83,757,890.58
  5. Step 5: Solve for x
    x = 83,757,890.58/13,882.60
  6. Step 6: Final answer
    x = 6,033.30

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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.