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Finding the Fourth Proportional to 20,034.50, 27,648.66 and 11,537.90

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Solution

The fourth proportional to 20,034.50, 27,648.66 and 11,537.90 is: 15,922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,034.50 : 27,648.66 = 11,537.90 : x
  2. Step 2: Convert to fraction form
    20,034.50/27,648.66 = 11,537.90/x
  3. Step 3: Cross multiply
    20,034.50x = 27,648.66 × 11,537.90
  4. Step 4: Simplify right side
    20,034.50x = 319,007,474.21
  5. Step 5: Solve for x
    x = 319,007,474.21/20,034.50
  6. Step 6: Final answer
    x = 15,922.91

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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.