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Finding the Fourth Proportional to 16,538, 22,822.18 and 8,984.42

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Solution

The fourth proportional to 16,538, 22,822.18 and 8,984.42 is: 12,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538 : 22,822.18 = 8,984.42 : x
  2. Step 2: Convert to fraction form
    16,538/22,822.18 = 8,984.42/x
  3. Step 3: Cross multiply
    16,538x = 22,822.18 × 8,984.42
  4. Step 4: Simplify right side
    16,538x = 205,044,050.44
  5. Step 5: Solve for x
    x = 205,044,050.44/16,538
  6. Step 6: Final answer
    x = 12,398.36

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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.