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Finding the Fourth Proportional to 13,197.54, 19,796.56 and 6,173.68

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Solution

The fourth proportional to 13,197.54, 19,796.56 and 6,173.68 is: 9,260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.54 : 19,796.56 = 6,173.68 : x
  2. Step 2: Convert to fraction form
    13,197.54/19,796.56 = 6,173.68/x
  3. Step 3: Cross multiply
    13,197.54x = 19,796.56 × 6,173.68
  4. Step 4: Simplify right side
    13,197.54x = 122,217,626.54
  5. Step 5: Solve for x
    x = 122,217,626.54/13,197.54
  6. Step 6: Final answer
    x = 9,260.64

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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.