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Finding the Fourth Proportional to 27,466.68, 41,207.70 and 7,745.34

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Solution

The fourth proportional to 27,466.68, 41,207.70 and 7,745.34 is: 11,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,466.68 : 41,207.70 = 7,745.34 : x
  2. Step 2: Convert to fraction form
    27,466.68/41,207.70 = 7,745.34/x
  3. Step 3: Cross multiply
    27,466.68x = 41,207.70 × 7,745.34
  4. Step 4: Simplify right side
    27,466.68x = 319,167,647.12
  5. Step 5: Solve for x
    x = 319,167,647.12/27,466.68
  6. Step 6: Final answer
    x = 11,620.18

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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.