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Finding the Fourth Proportional to 13,823.80, 20,735.70 and 3,963.40

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Solution

The fourth proportional to 13,823.80, 20,735.70 and 3,963.40 is: 5,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.80 : 20,735.70 = 3,963.40 : x
  2. Step 2: Convert to fraction form
    13,823.80/20,735.70 = 3,963.40/x
  3. Step 3: Cross multiply
    13,823.80x = 20,735.70 × 3,963.40
  4. Step 4: Simplify right side
    13,823.80x = 82,183,873.38
  5. Step 5: Solve for x
    x = 82,183,873.38/13,823.80
  6. Step 6: Final answer
    x = 5,945.10

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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.