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Finding the Fourth Proportional to 27,213.95, 40,822.44 and 8,496.57

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Solution

The fourth proportional to 27,213.95, 40,822.44 and 8,496.57 is: 12,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,213.95 : 40,822.44 = 8,496.57 : x
  2. Step 2: Convert to fraction form
    27,213.95/40,822.44 = 8,496.57/x
  3. Step 3: Cross multiply
    27,213.95x = 40,822.44 × 8,496.57
  4. Step 4: Simplify right side
    27,213.95x = 346,850,734.96
  5. Step 5: Solve for x
    x = 346,850,734.96/27,213.95
  6. Step 6: Final answer
    x = 12,745.33

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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.