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Finding the Fourth Proportional to 22,382.94, 30,887.82 and 12,311.37

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Solution

The fourth proportional to 22,382.94, 30,887.82 and 12,311.37 is: 16,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.94 : 30,887.82 = 12,311.37 : x
  2. Step 2: Convert to fraction form
    22,382.94/30,887.82 = 12,311.37/x
  3. Step 3: Cross multiply
    22,382.94x = 30,887.82 × 12,311.37
  4. Step 4: Simplify right side
    22,382.94x = 380,271,380.51
  5. Step 5: Solve for x
    x = 380,271,380.51/22,382.94
  6. Step 6: Final answer
    x = 16,989.34

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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.