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Finding the Fourth Proportional to 12,261.89, 16,921.24 and 7,226.32

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Solution

The fourth proportional to 12,261.89, 16,921.24 and 7,226.32 is: 9,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.89 : 16,921.24 = 7,226.32 : x
  2. Step 2: Convert to fraction form
    12,261.89/16,921.24 = 7,226.32/x
  3. Step 3: Cross multiply
    12,261.89x = 16,921.24 × 7,226.32
  4. Step 4: Simplify right side
    12,261.89x = 122,278,295.04
  5. Step 5: Solve for x
    x = 122,278,295.04/12,261.89
  6. Step 6: Final answer
    x = 9,972.22

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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.