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Finding the Fourth Proportional to 13,198.62, 19,797.93 and 5,301.14

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Solution

The fourth proportional to 13,198.62, 19,797.93 and 5,301.14 is: 7,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.62 : 19,797.93 = 5,301.14 : x
  2. Step 2: Convert to fraction form
    13,198.62/19,797.93 = 5,301.14/x
  3. Step 3: Cross multiply
    13,198.62x = 19,797.93 × 5,301.14
  4. Step 4: Simplify right side
    13,198.62x = 104,951,499.65
  5. Step 5: Solve for x
    x = 104,951,499.65/13,198.62
  6. Step 6: Final answer
    x = 7,951.70

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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.