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Finding the Fourth Proportional to 27,575.85, 41,363.73 and 11,993.46

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Solution

The fourth proportional to 27,575.85, 41,363.73 and 11,993.46 is: 17,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,575.85 : 41,363.73 = 11,993.46 : x
  2. Step 2: Convert to fraction form
    27,575.85/41,363.73 = 11,993.46/x
  3. Step 3: Cross multiply
    27,575.85x = 41,363.73 × 11,993.46
  4. Step 4: Simplify right side
    27,575.85x = 496,094,241.21
  5. Step 5: Solve for x
    x = 496,094,241.21/27,575.85
  6. Step 6: Final answer
    x = 17,990.17

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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.