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Finding the Fourth Proportional to 27,114.81, 40,674.16 and 8,392.44

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Solution

The fourth proportional to 27,114.81, 40,674.16 and 8,392.44 is: 12,589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114.81 : 40,674.16 = 8,392.44 : x
  2. Step 2: Convert to fraction form
    27,114.81/40,674.16 = 8,392.44/x
  3. Step 3: Cross multiply
    27,114.81x = 40,674.16 × 8,392.44
  4. Step 4: Simplify right side
    27,114.81x = 341,355,426.37
  5. Step 5: Solve for x
    x = 341,355,426.37/27,114.81
  6. Step 6: Final answer
    x = 12,589.26

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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.