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Finding the Fourth Proportional to 20,151.83, 27,811.78 and 12,193.88

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Solution

The fourth proportional to 20,151.83, 27,811.78 and 12,193.88 is: 16,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,151.83 : 27,811.78 = 12,193.88 : x
  2. Step 2: Convert to fraction form
    20,151.83/27,811.78 = 12,193.88/x
  3. Step 3: Cross multiply
    20,151.83x = 27,811.78 × 12,193.88
  4. Step 4: Simplify right side
    20,151.83x = 339,133,546.95
  5. Step 5: Solve for x
    x = 339,133,546.95/20,151.83
  6. Step 6: Final answer
    x = 16,828.92

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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.