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Finding the Fourth Proportional to 16,249.58, 22,424.83 and 9,965.42

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Solution

The fourth proportional to 16,249.58, 22,424.83 and 9,965.42 is: 13,752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.58 : 22,424.83 = 9,965.42 : x
  2. Step 2: Convert to fraction form
    16,249.58/22,424.83 = 9,965.42/x
  3. Step 3: Cross multiply
    16,249.58x = 22,424.83 × 9,965.42
  4. Step 4: Simplify right side
    16,249.58x = 223,472,849.38
  5. Step 5: Solve for x
    x = 223,472,849.38/16,249.58
  6. Step 6: Final answer
    x = 13,752.53

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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.