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Finding the Fourth Proportional to 16,581.82, 22,882.36 and 9,028.02

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Solution

The fourth proportional to 16,581.82, 22,882.36 and 9,028.02 is: 12,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,581.82 : 22,882.36 = 9,028.02 : x
  2. Step 2: Convert to fraction form
    16,581.82/22,882.36 = 9,028.02/x
  3. Step 3: Cross multiply
    16,581.82x = 22,882.36 × 9,028.02
  4. Step 4: Simplify right side
    16,581.82x = 206,582,403.73
  5. Step 5: Solve for x
    x = 206,582,403.73/16,581.82
  6. Step 6: Final answer
    x = 12,458.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.