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Finding the Fourth Proportional to 27,803.44, 41,705.94 and 9,084.64

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Solution

The fourth proportional to 27,803.44, 41,705.94 and 9,084.64 is: 13,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803.44 : 41,705.94 = 9,084.64 : x
  2. Step 2: Convert to fraction form
    27,803.44/41,705.94 = 9,084.64/x
  3. Step 3: Cross multiply
    27,803.44x = 41,705.94 × 9,084.64
  4. Step 4: Simplify right side
    27,803.44x = 378,883,450.76
  5. Step 5: Solve for x
    x = 378,883,450.76/27,803.44
  6. Step 6: Final answer
    x = 13,627.21

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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.