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Finding the Fourth Proportional to 14,198.18, 19,584.78 and 9,418.34

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Solution

The fourth proportional to 14,198.18, 19,584.78 and 9,418.34 is: 12,991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.18 : 19,584.78 = 9,418.34 : x
  2. Step 2: Convert to fraction form
    14,198.18/19,584.78 = 9,418.34/x
  3. Step 3: Cross multiply
    14,198.18x = 19,584.78 × 9,418.34
  4. Step 4: Simplify right side
    14,198.18x = 184,456,116.87
  5. Step 5: Solve for x
    x = 184,456,116.87/14,198.18
  6. Step 6: Final answer
    x = 12,991.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.