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Finding the Fourth Proportional to 27,802.38, 41,715.15 and 11,174.25

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Solution

The fourth proportional to 27,802.38, 41,715.15 and 11,174.25 is: 16,766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.38 : 41,715.15 = 11,174.25 : x
  2. Step 2: Convert to fraction form
    27,802.38/41,715.15 = 11,174.25/x
  3. Step 3: Cross multiply
    27,802.38x = 41,715.15 × 11,174.25
  4. Step 4: Simplify right side
    27,802.38x = 466,135,514.89
  5. Step 5: Solve for x
    x = 466,135,514.89/27,802.38
  6. Step 6: Final answer
    x = 16,766.03

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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.