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Finding the Fourth Proportional to 20,146.23, 27,801.90 and 11,194.74

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Solution

The fourth proportional to 20,146.23, 27,801.90 and 11,194.74 is: 15,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.23 : 27,801.90 = 11,194.74 : x
  2. Step 2: Convert to fraction form
    20,146.23/27,801.90 = 11,194.74/x
  3. Step 3: Cross multiply
    20,146.23x = 27,801.90 × 11,194.74
  4. Step 4: Simplify right side
    20,146.23x = 311,235,042.01
  5. Step 5: Solve for x
    x = 311,235,042.01/20,146.23
  6. Step 6: Final answer
    x = 15,448.80

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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.