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Finding the Fourth Proportional to 20,851.95, 28,777.76 and 11,900.80

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Solution

The fourth proportional to 20,851.95, 28,777.76 and 11,900.80 is: 16,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.95 : 28,777.76 = 11,900.80 : x
  2. Step 2: Convert to fraction form
    20,851.95/28,777.76 = 11,900.80/x
  3. Step 3: Cross multiply
    20,851.95x = 28,777.76 × 11,900.80
  4. Step 4: Simplify right side
    20,851.95x = 342,478,234.76
  5. Step 5: Solve for x
    x = 342,478,234.76/20,851.95
  6. Step 6: Final answer
    x = 16,424.28

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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.