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Finding the Fourth Proportional to 27,849.36, 41,775.84 and 8,126.25

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Solution

The fourth proportional to 27,849.36, 41,775.84 and 8,126.25 is: 12,189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,849.36 : 41,775.84 = 8,126.25 : x
  2. Step 2: Convert to fraction form
    27,849.36/41,775.84 = 8,126.25/x
  3. Step 3: Cross multiply
    27,849.36x = 41,775.84 × 8,126.25
  4. Step 4: Simplify right side
    27,849.36x = 339,480,919.80
  5. Step 5: Solve for x
    x = 339,480,919.80/27,849.36
  6. Step 6: Final answer
    x = 12,189.90

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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.