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Finding the Fourth Proportional to 12,077.87, 18,095.67 and 8,382.44

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Solution

The fourth proportional to 12,077.87, 18,095.67 and 8,382.44 is: 12,559.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.87 : 18,095.67 = 8,382.44 : x
  2. Step 2: Convert to fraction form
    12,077.87/18,095.67 = 8,382.44/x
  3. Step 3: Cross multiply
    12,077.87x = 18,095.67 × 8,382.44
  4. Step 4: Simplify right side
    12,077.87x = 151,685,913.27
  5. Step 5: Solve for x
    x = 151,685,913.27/12,077.87
  6. Step 6: Final answer
    x = 12,559.00

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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.