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Finding the Fourth Proportional to 13,182.84, 18,198.25 and 8,409.22

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Solution

The fourth proportional to 13,182.84, 18,198.25 and 8,409.22 is: 11,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.84 : 18,198.25 = 8,409.22 : x
  2. Step 2: Convert to fraction form
    13,182.84/18,198.25 = 8,409.22/x
  3. Step 3: Cross multiply
    13,182.84x = 18,198.25 × 8,409.22
  4. Step 4: Simplify right side
    13,182.84x = 153,033,021.35
  5. Step 5: Solve for x
    x = 153,033,021.35/13,182.84
  6. Step 6: Final answer
    x = 11,608.50

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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.