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Finding the Fourth Proportional to 16,122.88, 22,249.52 and 9,049.28

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Solution

The fourth proportional to 16,122.88, 22,249.52 and 9,049.28 is: 12,487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122.88 : 22,249.52 = 9,049.28 : x
  2. Step 2: Convert to fraction form
    16,122.88/22,249.52 = 9,049.28/x
  3. Step 3: Cross multiply
    16,122.88x = 22,249.52 × 9,049.28
  4. Step 4: Simplify right side
    16,122.88x = 201,342,136.35
  5. Step 5: Solve for x
    x = 201,342,136.35/16,122.88
  6. Step 6: Final answer
    x = 12,487.98

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