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Finding the Fourth Proportional to 27,900.38, 41,845.94 and 9,180.64

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Solution

The fourth proportional to 27,900.38, 41,845.94 and 9,180.64 is: 13,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,900.38 : 41,845.94 = 9,180.64 : x
  2. Step 2: Convert to fraction form
    27,900.38/41,845.94 = 9,180.64/x
  3. Step 3: Cross multiply
    27,900.38x = 41,845.94 × 9,180.64
  4. Step 4: Simplify right side
    27,900.38x = 384,172,510.60
  5. Step 5: Solve for x
    x = 384,172,510.60/27,900.38
  6. Step 6: Final answer
    x = 13,769.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.