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Finding the Fourth Proportional to 22,022.84, 30,391.34 and 12,462.64

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Solution

The fourth proportional to 22,022.84, 30,391.34 and 12,462.64 is: 17,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,022.84 : 30,391.34 = 12,462.64 : x
  2. Step 2: Convert to fraction form
    22,022.84/30,391.34 = 12,462.64/x
  3. Step 3: Cross multiply
    22,022.84x = 30,391.34 × 12,462.64
  4. Step 4: Simplify right side
    22,022.84x = 378,756,329.54
  5. Step 5: Solve for x
    x = 378,756,329.54/22,022.84
  6. Step 6: Final answer
    x = 17,198.34

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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.