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Finding the Fourth Proportional to 13,423.92, 20,134.34 and 3,563.97

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Solution

The fourth proportional to 13,423.92, 20,134.34 and 3,563.97 is: 5,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.92 : 20,134.34 = 3,563.97 : x
  2. Step 2: Convert to fraction form
    13,423.92/20,134.34 = 3,563.97/x
  3. Step 3: Cross multiply
    13,423.92x = 20,134.34 × 3,563.97
  4. Step 4: Simplify right side
    13,423.92x = 71,758,165.91
  5. Step 5: Solve for x
    x = 71,758,165.91/13,423.92
  6. Step 6: Final answer
    x = 5,345.54

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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.