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Finding the Fourth Proportional to 12,288.16, 18,431.60 and 3,968.04

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Solution

The fourth proportional to 12,288.16, 18,431.60 and 3,968.04 is: 5,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.16 : 18,431.60 = 3,968.04 : x
  2. Step 2: Convert to fraction form
    12,288.16/18,431.60 = 3,968.04/x
  3. Step 3: Cross multiply
    12,288.16x = 18,431.60 × 3,968.04
  4. Step 4: Simplify right side
    12,288.16x = 73,137,326.06
  5. Step 5: Solve for x
    x = 73,137,326.06/12,288.16
  6. Step 6: Final answer
    x = 5,951.85

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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.