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Finding the Fourth Proportional to 18,284.72, 27,431.22 and 5,805.50

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Solution

The fourth proportional to 18,284.72, 27,431.22 and 5,805.50 is: 8,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,284.72 : 27,431.22 = 5,805.50 : x
  2. Step 2: Convert to fraction form
    18,284.72/27,431.22 = 5,805.50/x
  3. Step 3: Cross multiply
    18,284.72x = 27,431.22 × 5,805.50
  4. Step 4: Simplify right side
    18,284.72x = 159,251,947.71
  5. Step 5: Solve for x
    x = 159,251,947.71/18,284.72
  6. Step 6: Final answer
    x = 8,709.56

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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.