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Finding the Fourth Proportional to 21,208.88, 31,813.00 and 5,198.58

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Solution

The fourth proportional to 21,208.88, 31,813.00 and 5,198.58 is: 7,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,208.88 : 31,813.00 = 5,198.58 : x
  2. Step 2: Convert to fraction form
    21,208.88/31,813.00 = 5,198.58/x
  3. Step 3: Cross multiply
    21,208.88x = 31,813.00 × 5,198.58
  4. Step 4: Simplify right side
    21,208.88x = 165,382,240.48
  5. Step 5: Solve for x
    x = 165,382,240.48/21,208.88
  6. Step 6: Final answer
    x = 7,797.78

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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.