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Finding the Fourth Proportional to 10,974.26, 16,458.06 and 9,219.80

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Solution

The fourth proportional to 10,974.26, 16,458.06 and 9,219.80 is: 13,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.26 : 16,458.06 = 9,219.80 : x
  2. Step 2: Convert to fraction form
    10,974.26/16,458.06 = 9,219.80/x
  3. Step 3: Cross multiply
    10,974.26x = 16,458.06 × 9,219.80
  4. Step 4: Simplify right side
    10,974.26x = 151,740,021.59
  5. Step 5: Solve for x
    x = 151,740,021.59/10,974.26
  6. Step 6: Final answer
    x = 13,826.90

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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.