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Finding the Fourth Proportional to 13,198.68, 19,794.51 and 5,801.49

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Solution

The fourth proportional to 13,198.68, 19,794.51 and 5,801.49 is: 8,700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.68 : 19,794.51 = 5,801.49 : x
  2. Step 2: Convert to fraction form
    13,198.68/19,794.51 = 5,801.49/x
  3. Step 3: Cross multiply
    13,198.68x = 19,794.51 × 5,801.49
  4. Step 4: Simplify right side
    13,198.68x = 114,837,651.82
  5. Step 5: Solve for x
    x = 114,837,651.82/13,198.68
  6. Step 6: Final answer
    x = 8,700.69

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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.