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Finding the Fourth Proportional to 18,094, 27,141.52 and 5,782

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Solution

The fourth proportional to 18,094, 27,141.52 and 5,782 is: 8,673.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,094 : 27,141.52 = 5,782 : x
  2. Step 2: Convert to fraction form
    18,094/27,141.52 = 5,782/x
  3. Step 3: Cross multiply
    18,094x = 27,141.52 × 5,782
  4. Step 4: Simplify right side
    18,094x = 156,932,268.64
  5. Step 5: Solve for x
    x = 156,932,268.64/18,094
  6. Step 6: Final answer
    x = 8,673.17

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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.