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Finding the Fourth Proportional to 27,803.24, 41,705.54 and 8,081.96

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Solution

The fourth proportional to 27,803.24, 41,705.54 and 8,081.96 is: 12,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803.24 : 41,705.54 = 8,081.96 : x
  2. Step 2: Convert to fraction form
    27,803.24/41,705.54 = 8,081.96/x
  3. Step 3: Cross multiply
    27,803.24x = 41,705.54 × 8,081.96
  4. Step 4: Simplify right side
    27,803.24x = 337,062,465.65
  5. Step 5: Solve for x
    x = 337,062,465.65/27,803.24
  6. Step 6: Final answer
    x = 12,123.14

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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.