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Finding the Fourth Proportional to 13,730.92, 20,596.38 and 3,871.24

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Solution

The fourth proportional to 13,730.92, 20,596.38 and 3,871.24 is: 5,806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.92 : 20,596.38 = 3,871.24 : x
  2. Step 2: Convert to fraction form
    13,730.92/20,596.38 = 3,871.24/x
  3. Step 3: Cross multiply
    13,730.92x = 20,596.38 × 3,871.24
  4. Step 4: Simplify right side
    13,730.92x = 79,733,530.11
  5. Step 5: Solve for x
    x = 79,733,530.11/13,730.92
  6. Step 6: Final answer
    x = 5,806.86

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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.