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Finding the Fourth Proportional to 14,804.26, 22,205.78 and 8,226.25

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Solution

The fourth proportional to 14,804.26, 22,205.78 and 8,226.25 is: 12,339.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,804.26 : 22,205.78 = 8,226.25 : x
  2. Step 2: Convert to fraction form
    14,804.26/22,205.78 = 8,226.25/x
  3. Step 3: Cross multiply
    14,804.26x = 22,205.78 × 8,226.25
  4. Step 4: Simplify right side
    14,804.26x = 182,670,297.73
  5. Step 5: Solve for x
    x = 182,670,297.73/14,804.26
  6. Step 6: Final answer
    x = 12,339.04

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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.