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Finding the Fourth Proportional to 27,745.20, 41,610.24 and 12,159

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Solution

The fourth proportional to 27,745.20, 41,610.24 and 12,159 is: 18,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.20 : 41,610.24 = 12,159 : x
  2. Step 2: Convert to fraction form
    27,745.20/41,610.24 = 12,159/x
  3. Step 3: Cross multiply
    27,745.20x = 41,610.24 × 12,159
  4. Step 4: Simplify right side
    27,745.20x = 505,938,908.16
  5. Step 5: Solve for x
    x = 505,938,908.16/27,745.20
  6. Step 6: Final answer
    x = 18,235.19

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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.