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Finding the Fourth Proportional to 22,204, 30,628.56 and 13,823.20

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Solution

The fourth proportional to 22,204, 30,628.56 and 13,823.20 is: 19,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,204 : 30,628.56 = 13,823.20 : x
  2. Step 2: Convert to fraction form
    22,204/30,628.56 = 13,823.20/x
  3. Step 3: Cross multiply
    22,204x = 30,628.56 × 13,823.20
  4. Step 4: Simplify right side
    22,204x = 423,384,710.59
  5. Step 5: Solve for x
    x = 423,384,710.59/22,204
  6. Step 6: Final answer
    x = 19,067.95

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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.