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Finding the Fourth Proportional to 12,382.72, 18,574.08 and 4,589.44

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Solution

The fourth proportional to 12,382.72, 18,574.08 and 4,589.44 is: 6,884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.72 : 18,574.08 = 4,589.44 : x
  2. Step 2: Convert to fraction form
    12,382.72/18,574.08 = 4,589.44/x
  3. Step 3: Cross multiply
    12,382.72x = 18,574.08 × 4,589.44
  4. Step 4: Simplify right side
    12,382.72x = 85,244,625.72
  5. Step 5: Solve for x
    x = 85,244,625.72/12,382.72
  6. Step 6: Final answer
    x = 6,884.16

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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.