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Finding the Fourth Proportional to 27,830.33, 41,745.95 and 8,109.97

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Solution

The fourth proportional to 27,830.33, 41,745.95 and 8,109.97 is: 12,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.33 : 41,745.95 = 8,109.97 : x
  2. Step 2: Convert to fraction form
    27,830.33/41,745.95 = 8,109.97/x
  3. Step 3: Cross multiply
    27,830.33x = 41,745.95 × 8,109.97
  4. Step 4: Simplify right side
    27,830.33x = 338,558,402.12
  5. Step 5: Solve for x
    x = 338,558,402.12/27,830.33
  6. Step 6: Final answer
    x = 12,165.09

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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.