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Finding the Fourth Proportional to 22,297.84, 30,771.91 and 12,226.64

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Solution

The fourth proportional to 22,297.84, 30,771.91 and 12,226.64 is: 16,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.84 : 30,771.91 = 12,226.64 : x
  2. Step 2: Convert to fraction form
    22,297.84/30,771.91 = 12,226.64/x
  3. Step 3: Cross multiply
    22,297.84x = 30,771.91 × 12,226.64
  4. Step 4: Simplify right side
    22,297.84x = 376,237,065.68
  5. Step 5: Solve for x
    x = 376,237,065.68/22,297.84
  6. Step 6: Final answer
    x = 16,873.25

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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.