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Finding the Fourth Proportional to 13,198.07, 19,797.01 and 8,784.38

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Solution

The fourth proportional to 13,198.07, 19,797.01 and 8,784.38 is: 13,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.07 : 19,797.01 = 8,784.38 : x
  2. Step 2: Convert to fraction form
    13,198.07/19,797.01 = 8,784.38/x
  3. Step 3: Cross multiply
    13,198.07x = 19,797.01 × 8,784.38
  4. Step 4: Simplify right side
    13,198.07x = 173,904,486.24
  5. Step 5: Solve for x
    x = 173,904,486.24/13,198.07
  6. Step 6: Final answer
    x = 13,176.51

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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.