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Finding the Fourth Proportional to 18,288.25, 27,433.49 and 5,141.75

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Solution

The fourth proportional to 18,288.25, 27,433.49 and 5,141.75 is: 7,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,288.25 : 27,433.49 = 5,141.75 : x
  2. Step 2: Convert to fraction form
    18,288.25/27,433.49 = 5,141.75/x
  3. Step 3: Cross multiply
    18,288.25x = 27,433.49 × 5,141.75
  4. Step 4: Simplify right side
    18,288.25x = 141,055,984.33
  5. Step 5: Solve for x
    x = 141,055,984.33/18,288.25
  6. Step 6: Final answer
    x = 7,712.93

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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.