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Finding the Fourth Proportional to 27,420.22, 41,131.16 and 9,408.19

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Solution

The fourth proportional to 27,420.22, 41,131.16 and 9,408.19 is: 14,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420.22 : 41,131.16 = 9,408.19 : x
  2. Step 2: Convert to fraction form
    27,420.22/41,131.16 = 9,408.19/x
  3. Step 3: Cross multiply
    27,420.22x = 41,131.16 × 9,408.19
  4. Step 4: Simplify right side
    27,420.22x = 386,969,768.20
  5. Step 5: Solve for x
    x = 386,969,768.20/27,420.22
  6. Step 6: Final answer
    x = 14,112.57

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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.