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Finding the Fourth Proportional to 16,676.84, 22,995.62 and 11,361

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Solution

The fourth proportional to 16,676.84, 22,995.62 and 11,361 is: 15,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,676.84 : 22,995.62 = 11,361 : x
  2. Step 2: Convert to fraction form
    16,676.84/22,995.62 = 11,361/x
  3. Step 3: Cross multiply
    16,676.84x = 22,995.62 × 11,361
  4. Step 4: Simplify right side
    16,676.84x = 261,253,238.82
  5. Step 5: Solve for x
    x = 261,253,238.82/16,676.84
  6. Step 6: Final answer
    x = 15,665.63

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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.