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Finding the Fourth Proportional to 22,033.44, 30,406.56 and 12,097.44

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Solution

The fourth proportional to 22,033.44, 30,406.56 and 12,097.44 is: 16,694.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,033.44 : 30,406.56 = 12,097.44 : x
  2. Step 2: Convert to fraction form
    22,033.44/30,406.56 = 12,097.44/x
  3. Step 3: Cross multiply
    22,033.44x = 30,406.56 × 12,097.44
  4. Step 4: Simplify right side
    22,033.44x = 367,841,535.21
  5. Step 5: Solve for x
    x = 367,841,535.21/22,033.44
  6. Step 6: Final answer
    x = 16,694.69

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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.