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Finding the Fourth Proportional to 22,604.50, 31,194.57 and 12,668.50

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Solution

The fourth proportional to 22,604.50, 31,194.57 and 12,668.50 is: 17,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,604.50 : 31,194.57 = 12,668.50 : x
  2. Step 2: Convert to fraction form
    22,604.50/31,194.57 = 12,668.50/x
  3. Step 3: Cross multiply
    22,604.50x = 31,194.57 × 12,668.50
  4. Step 4: Simplify right side
    22,604.50x = 395,188,410.05
  5. Step 5: Solve for x
    x = 395,188,410.05/22,604.50
  6. Step 6: Final answer
    x = 17,482.73

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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.