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Finding the Fourth Proportional to 22,297.86, 30,771.36 and 12,226.14

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Solution

The fourth proportional to 22,297.86, 30,771.36 and 12,226.14 is: 16,872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.86 : 30,771.36 = 12,226.14 : x
  2. Step 2: Convert to fraction form
    22,297.86/30,771.36 = 12,226.14/x
  3. Step 3: Cross multiply
    22,297.86x = 30,771.36 × 12,226.14
  4. Step 4: Simplify right side
    22,297.86x = 376,214,955.35
  5. Step 5: Solve for x
    x = 376,214,955.35/22,297.86
  6. Step 6: Final answer
    x = 16,872.24

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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.