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Finding the Fourth Proportional to 20,861.78, 28,782.20 and 11,902.98

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Solution

The fourth proportional to 20,861.78, 28,782.20 and 11,902.98 is: 16,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,861.78 : 28,782.20 = 11,902.98 : x
  2. Step 2: Convert to fraction form
    20,861.78/28,782.20 = 11,902.98/x
  3. Step 3: Cross multiply
    20,861.78x = 28,782.20 × 11,902.98
  4. Step 4: Simplify right side
    20,861.78x = 342,593,950.96
  5. Step 5: Solve for x
    x = 342,593,950.96/20,861.78
  6. Step 6: Final answer
    x = 16,422.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.