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Finding the Fourth Proportional to 14,481.16, 19,984.26 and 8,194.84

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Solution

The fourth proportional to 14,481.16, 19,984.26 and 8,194.84 is: 11,309.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,481.16 : 19,984.26 = 8,194.84 : x
  2. Step 2: Convert to fraction form
    14,481.16/19,984.26 = 8,194.84/x
  3. Step 3: Cross multiply
    14,481.16x = 19,984.26 × 8,194.84
  4. Step 4: Simplify right side
    14,481.16x = 163,767,813.22
  5. Step 5: Solve for x
    x = 163,767,813.22/14,481.16
  6. Step 6: Final answer
    x = 11,309.03

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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.