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Finding the Fourth Proportional to 12,202.64, 18,304.62 and 3,883.32

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Solution

The fourth proportional to 12,202.64, 18,304.62 and 3,883.32 is: 5,825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.64 : 18,304.62 = 3,883.32 : x
  2. Step 2: Convert to fraction form
    12,202.64/18,304.62 = 3,883.32/x
  3. Step 3: Cross multiply
    12,202.64x = 18,304.62 × 3,883.32
  4. Step 4: Simplify right side
    12,202.64x = 71,082,696.94
  5. Step 5: Solve for x
    x = 71,082,696.94/12,202.64
  6. Step 6: Final answer
    x = 5,825.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.