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Finding the Fourth Proportional to 27,809.72, 41,705.85 and 9,085.49

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Solution

The fourth proportional to 27,809.72, 41,705.85 and 9,085.49 is: 13,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.72 : 41,705.85 = 9,085.49 : x
  2. Step 2: Convert to fraction form
    27,809.72/41,705.85 = 9,085.49/x
  3. Step 3: Cross multiply
    27,809.72x = 41,705.85 × 9,085.49
  4. Step 4: Simplify right side
    27,809.72x = 378,917,874.59
  5. Step 5: Solve for x
    x = 378,917,874.59/27,809.72
  6. Step 6: Final answer
    x = 13,625.38

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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.