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Finding the Fourth Proportional to 14,542.08, 21,794.56 and 8,297.44

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Solution

The fourth proportional to 14,542.08, 21,794.56 and 8,297.44 is: 12,435.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.08 : 21,794.56 = 8,297.44 : x
  2. Step 2: Convert to fraction form
    14,542.08/21,794.56 = 8,297.44/x
  3. Step 3: Cross multiply
    14,542.08x = 21,794.56 × 8,297.44
  4. Step 4: Simplify right side
    14,542.08x = 180,839,053.93
  5. Step 5: Solve for x
    x = 180,839,053.93/14,542.08
  6. Step 6: Final answer
    x = 12,435.57

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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.