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Finding the Fourth Proportional to 20,503.68, 30,741 and 12,163.92

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Solution

The fourth proportional to 20,503.68, 30,741 and 12,163.92 is: 18,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,503.68 : 30,741 = 12,163.92 : x
  2. Step 2: Convert to fraction form
    20,503.68/30,741 = 12,163.92/x
  3. Step 3: Cross multiply
    20,503.68x = 30,741 × 12,163.92
  4. Step 4: Simplify right side
    20,503.68x = 373,931,064.72
  5. Step 5: Solve for x
    x = 373,931,064.72/20,503.68
  6. Step 6: Final answer
    x = 18,237.27

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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.