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Finding the Fourth Proportional to 12,226.36, 16,872.96 and 6,922.84

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Solution

The fourth proportional to 12,226.36, 16,872.96 and 6,922.84 is: 9,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.36 : 16,872.96 = 6,922.84 : x
  2. Step 2: Convert to fraction form
    12,226.36/16,872.96 = 6,922.84/x
  3. Step 3: Cross multiply
    12,226.36x = 16,872.96 × 6,922.84
  4. Step 4: Simplify right side
    12,226.36x = 116,808,802.41
  5. Step 5: Solve for x
    x = 116,808,802.41/12,226.36
  6. Step 6: Final answer
    x = 9,553.85

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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.