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Finding the Fourth Proportional to 16,122.24, 22,249.68 and 9,049.12

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Solution

The fourth proportional to 16,122.24, 22,249.68 and 9,049.12 is: 12,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122.24 : 22,249.68 = 9,049.12 : x
  2. Step 2: Convert to fraction form
    16,122.24/22,249.68 = 9,049.12/x
  3. Step 3: Cross multiply
    16,122.24x = 22,249.68 × 9,049.12
  4. Step 4: Simplify right side
    16,122.24x = 201,340,024.28
  5. Step 5: Solve for x
    x = 201,340,024.28/16,122.24
  6. Step 6: Final answer
    x = 12,488.34

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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.