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Finding the Fourth Proportional to 20,043.94, 30,093.72 and 12,626.50

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Solution

The fourth proportional to 20,043.94, 30,093.72 and 12,626.50 is: 18,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,043.94 : 30,093.72 = 12,626.50 : x
  2. Step 2: Convert to fraction form
    20,043.94/30,093.72 = 12,626.50/x
  3. Step 3: Cross multiply
    20,043.94x = 30,093.72 × 12,626.50
  4. Step 4: Simplify right side
    20,043.94x = 379,978,355.58
  5. Step 5: Solve for x
    x = 379,978,355.58/20,043.94
  6. Step 6: Final answer
    x = 18,957.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.