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Finding the Fourth Proportional to 21,198.65, 31,797.95 and 5,616.27

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Solution

The fourth proportional to 21,198.65, 31,797.95 and 5,616.27 is: 8,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,198.65 : 31,797.95 = 5,616.27 : x
  2. Step 2: Convert to fraction form
    21,198.65/31,797.95 = 5,616.27/x
  3. Step 3: Cross multiply
    21,198.65x = 31,797.95 × 5,616.27
  4. Step 4: Simplify right side
    21,198.65x = 178,585,844.57
  5. Step 5: Solve for x
    x = 178,585,844.57/21,198.65
  6. Step 6: Final answer
    x = 8,424.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.