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Finding the Fourth Proportional to 12,198.93, 18,301.59 and 5,179.20

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Solution

The fourth proportional to 12,198.93, 18,301.59 and 5,179.20 is: 7,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.93 : 18,301.59 = 5,179.20 : x
  2. Step 2: Convert to fraction form
    12,198.93/18,301.59 = 5,179.20/x
  3. Step 3: Cross multiply
    12,198.93x = 18,301.59 × 5,179.20
  4. Step 4: Simplify right side
    12,198.93x = 94,787,594.93
  5. Step 5: Solve for x
    x = 94,787,594.93/12,198.93
  6. Step 6: Final answer
    x = 7,770.16

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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.