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Finding the Fourth Proportional to 13,423.18, 20,133.22 and 3,563.23

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Solution

The fourth proportional to 13,423.18, 20,133.22 and 3,563.23 is: 5,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.18 : 20,133.22 = 3,563.23 : x
  2. Step 2: Convert to fraction form
    13,423.18/20,133.22 = 3,563.23/x
  3. Step 3: Cross multiply
    13,423.18x = 20,133.22 × 3,563.23
  4. Step 4: Simplify right side
    13,423.18x = 71,739,275.68
  5. Step 5: Solve for x
    x = 71,739,275.68/13,423.18
  6. Step 6: Final answer
    x = 5,344.43

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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.