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Finding the Fourth Proportional to 22,049.37, 30,427.81 and 11,977.94

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Solution

The fourth proportional to 22,049.37, 30,427.81 and 11,977.94 is: 16,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,049.37 : 30,427.81 = 11,977.94 : x
  2. Step 2: Convert to fraction form
    22,049.37/30,427.81 = 11,977.94/x
  3. Step 3: Cross multiply
    22,049.37x = 30,427.81 × 11,977.94
  4. Step 4: Simplify right side
    22,049.37x = 364,462,528.64
  5. Step 5: Solve for x
    x = 364,462,528.64/22,049.37
  6. Step 6: Final answer
    x = 16,529.39

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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.