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Finding the Fourth Proportional to 21,756.82, 30,021.74 and 12,194.50

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Solution

The fourth proportional to 21,756.82, 30,021.74 and 12,194.50 is: 16,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,756.82 : 30,021.74 = 12,194.50 : x
  2. Step 2: Convert to fraction form
    21,756.82/30,021.74 = 12,194.50/x
  3. Step 3: Cross multiply
    21,756.82x = 30,021.74 × 12,194.50
  4. Step 4: Simplify right side
    21,756.82x = 366,100,074.42
  5. Step 5: Solve for x
    x = 366,100,074.42/21,756.82
  6. Step 6: Final answer
    x = 16,826.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.