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Finding the Fourth Proportional to 18,284.46, 27,427.66 and 5,805.46

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Solution

The fourth proportional to 18,284.46, 27,427.66 and 5,805.46 is: 8,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,284.46 : 27,427.66 = 5,805.46 : x
  2. Step 2: Convert to fraction form
    18,284.46/27,427.66 = 5,805.46/x
  3. Step 3: Cross multiply
    18,284.46x = 27,427.66 × 5,805.46
  4. Step 4: Simplify right side
    18,284.46x = 159,230,183.02
  5. Step 5: Solve for x
    x = 159,230,183.02/18,284.46
  6. Step 6: Final answer
    x = 8,708.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.