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Finding the Fourth Proportional to 16,544.26, 22,823.49 and 9,826.12

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Solution

The fourth proportional to 16,544.26, 22,823.49 and 9,826.12 is: 13,555.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.26 : 22,823.49 = 9,826.12 : x
  2. Step 2: Convert to fraction form
    16,544.26/22,823.49 = 9,826.12/x
  3. Step 3: Cross multiply
    16,544.26x = 22,823.49 × 9,826.12
  4. Step 4: Simplify right side
    16,544.26x = 224,266,351.56
  5. Step 5: Solve for x
    x = 224,266,351.56/16,544.26
  6. Step 6: Final answer
    x = 13,555.54

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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.