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Finding the Fourth Proportional to 27,774.25, 41,665.72 and 9,049.94

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Solution

The fourth proportional to 27,774.25, 41,665.72 and 9,049.94 is: 13,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.25 : 41,665.72 = 9,049.94 : x
  2. Step 2: Convert to fraction form
    27,774.25/41,665.72 = 9,049.94/x
  3. Step 3: Cross multiply
    27,774.25x = 41,665.72 × 9,049.94
  4. Step 4: Simplify right side
    27,774.25x = 377,072,266.06
  5. Step 5: Solve for x
    x = 377,072,266.06/27,774.25
  6. Step 6: Final answer
    x = 13,576.33

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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.