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Finding the Fourth Proportional to 12,226.56, 16,874.88 and 7,261.44

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Solution

The fourth proportional to 12,226.56, 16,874.88 and 7,261.44 is: 10,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.56 : 16,874.88 = 7,261.44 : x
  2. Step 2: Convert to fraction form
    12,226.56/16,874.88 = 7,261.44/x
  3. Step 3: Cross multiply
    12,226.56x = 16,874.88 × 7,261.44
  4. Step 4: Simplify right side
    12,226.56x = 122,535,928.63
  5. Step 5: Solve for x
    x = 122,535,928.63/12,226.56
  6. Step 6: Final answer
    x = 10,022.11

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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.