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Finding the Fourth Proportional to 27,834.24, 41,676.03 and 20,382.24

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Solution

The fourth proportional to 27,834.24, 41,676.03 and 20,382.24 is: 30,518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834.24 : 41,676.03 = 20,382.24 : x
  2. Step 2: Convert to fraction form
    27,834.24/41,676.03 = 20,382.24/x
  3. Step 3: Cross multiply
    27,834.24x = 41,676.03 × 20,382.24
  4. Step 4: Simplify right side
    27,834.24x = 849,450,845.71
  5. Step 5: Solve for x
    x = 849,450,845.71/27,834.24
  6. Step 6: Final answer
    x = 30,518.20

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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.