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Finding the Fourth Proportional to 13,638.92, 20,447.33 and 6,136.99

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Solution

The fourth proportional to 13,638.92, 20,447.33 and 6,136.99 is: 9,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.92 : 20,447.33 = 6,136.99 : x
  2. Step 2: Convert to fraction form
    13,638.92/20,447.33 = 6,136.99/x
  3. Step 3: Cross multiply
    13,638.92x = 20,447.33 × 6,136.99
  4. Step 4: Simplify right side
    13,638.92x = 125,484,977.93
  5. Step 5: Solve for x
    x = 125,484,977.93/13,638.92
  6. Step 6: Final answer
    x = 9,200.51

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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.