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Finding the Fourth Proportional to 27,466.67, 41,207.70 and 7,745.33

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Solution

The fourth proportional to 27,466.67, 41,207.70 and 7,745.33 is: 11,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,466.67 : 41,207.70 = 7,745.33 : x
  2. Step 2: Convert to fraction form
    27,466.67/41,207.70 = 7,745.33/x
  3. Step 3: Cross multiply
    27,466.67x = 41,207.70 × 7,745.33
  4. Step 4: Simplify right side
    27,466.67x = 319,167,235.04
  5. Step 5: Solve for x
    x = 319,167,235.04/27,466.67
  6. Step 6: Final answer
    x = 11,620.16

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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.