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Finding the Fourth Proportional to 22,276.63, 30,743.04 and 12,205.09

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Solution

The fourth proportional to 22,276.63, 30,743.04 and 12,205.09 is: 16,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,276.63 : 30,743.04 = 12,205.09 : x
  2. Step 2: Convert to fraction form
    22,276.63/30,743.04 = 12,205.09/x
  3. Step 3: Cross multiply
    22,276.63x = 30,743.04 × 12,205.09
  4. Step 4: Simplify right side
    22,276.63x = 375,221,570.07
  5. Step 5: Solve for x
    x = 375,221,570.07/22,276.63
  6. Step 6: Final answer
    x = 16,843.73

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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.