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Finding the Fourth Proportional to 16,538.10, 22,822.49 and 8,984.37

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Solution

The fourth proportional to 16,538.10, 22,822.49 and 8,984.37 is: 12,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.10 : 22,822.49 = 8,984.37 : x
  2. Step 2: Convert to fraction form
    16,538.10/22,822.49 = 8,984.37/x
  3. Step 3: Cross multiply
    16,538.10x = 22,822.49 × 8,984.37
  4. Step 4: Simplify right side
    16,538.10x = 205,045,649.56
  5. Step 5: Solve for x
    x = 205,045,649.56/16,538.10
  6. Step 6: Final answer
    x = 12,398.38

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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.