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Finding the Fourth Proportional to 22,997.44, 34,467.30 and 9,834.33

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Solution

The fourth proportional to 22,997.44, 34,467.30 and 9,834.33 is: 14,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,997.44 : 34,467.30 = 9,834.33 : x
  2. Step 2: Convert to fraction form
    22,997.44/34,467.30 = 9,834.33/x
  3. Step 3: Cross multiply
    22,997.44x = 34,467.30 × 9,834.33
  4. Step 4: Simplify right side
    22,997.44x = 338,962,802.41
  5. Step 5: Solve for x
    x = 338,962,802.41/22,997.44
  6. Step 6: Final answer
    x = 14,739.15

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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.