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Finding the Fourth Proportional to 12,993.14, 19,489.73 and 7,442.64

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Solution

The fourth proportional to 12,993.14, 19,489.73 and 7,442.64 is: 11,163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.14 : 19,489.73 = 7,442.64 : x
  2. Step 2: Convert to fraction form
    12,993.14/19,489.73 = 7,442.64/x
  3. Step 3: Cross multiply
    12,993.14x = 19,489.73 × 7,442.64
  4. Step 4: Simplify right side
    12,993.14x = 145,055,006.87
  5. Step 5: Solve for x
    x = 145,055,006.87/12,993.14
  6. Step 6: Final answer
    x = 11,163.97

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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.