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Finding the Fourth Proportional to 13,563.80, 20,348.81 and 5,243.88

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Solution

The fourth proportional to 13,563.80, 20,348.81 and 5,243.88 is: 7,867.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.80 : 20,348.81 = 5,243.88 : x
  2. Step 2: Convert to fraction form
    13,563.80/20,348.81 = 5,243.88/x
  3. Step 3: Cross multiply
    13,563.80x = 20,348.81 × 5,243.88
  4. Step 4: Simplify right side
    13,563.80x = 106,706,717.78
  5. Step 5: Solve for x
    x = 106,706,717.78/13,563.80
  6. Step 6: Final answer
    x = 7,867.02

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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.