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Finding the Fourth Proportional to 15,188.98, 20,960.76 and 8,474.21

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Solution

The fourth proportional to 15,188.98, 20,960.76 and 8,474.21 is: 11,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,188.98 : 20,960.76 = 8,474.21 : x
  2. Step 2: Convert to fraction form
    15,188.98/20,960.76 = 8,474.21/x
  3. Step 3: Cross multiply
    15,188.98x = 20,960.76 × 8,474.21
  4. Step 4: Simplify right side
    15,188.98x = 177,625,777.20
  5. Step 5: Solve for x
    x = 177,625,777.20/15,188.98
  6. Step 6: Final answer
    x = 11,694.38

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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.