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Finding the Fourth Proportional to 27,833.85, 38,379.81 and 21,446.19

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Solution

The fourth proportional to 27,833.85, 38,379.81 and 21,446.19 is: 29,571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.85 : 38,379.81 = 21,446.19 : x
  2. Step 2: Convert to fraction form
    27,833.85/38,379.81 = 21,446.19/x
  3. Step 3: Cross multiply
    27,833.85x = 38,379.81 × 21,446.19
  4. Step 4: Simplify right side
    27,833.85x = 823,100,697.42
  5. Step 5: Solve for x
    x = 823,100,697.42/27,833.85
  6. Step 6: Final answer
    x = 29,571.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.