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Finding the Fourth Proportional to 12,698.86, 19,041 and 11,965

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Solution

The fourth proportional to 12,698.86, 19,041 and 11,965 is: 17,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.86 : 19,041 = 11,965 : x
  2. Step 2: Convert to fraction form
    12,698.86/19,041 = 11,965/x
  3. Step 3: Cross multiply
    12,698.86x = 19,041 × 11,965
  4. Step 4: Simplify right side
    12,698.86x = 227,825,565
  5. Step 5: Solve for x
    x = 227,825,565/12,698.86
  6. Step 6: Final answer
    x = 17,940.63

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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.