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Finding the Fourth Proportional to 15,194.81, 20,969.89 and 8,481.74

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Solution

The fourth proportional to 15,194.81, 20,969.89 and 8,481.74 is: 11,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.81 : 20,969.89 = 8,481.74 : x
  2. Step 2: Convert to fraction form
    15,194.81/20,969.89 = 8,481.74/x
  3. Step 3: Cross multiply
    15,194.81x = 20,969.89 × 8,481.74
  4. Step 4: Simplify right side
    15,194.81x = 177,861,186.03
  5. Step 5: Solve for x
    x = 177,861,186.03/15,194.81
  6. Step 6: Final answer
    x = 11,705.39

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Why These Related Problems?

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