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Finding the Fourth Proportional to 10,960.82, 16,441.23 and 10,173.50

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Solution

The fourth proportional to 10,960.82, 16,441.23 and 10,173.50 is: 15,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960.82 : 16,441.23 = 10,173.50 : x
  2. Step 2: Convert to fraction form
    10,960.82/16,441.23 = 10,173.50/x
  3. Step 3: Cross multiply
    10,960.82x = 16,441.23 × 10,173.50
  4. Step 4: Simplify right side
    10,960.82x = 167,264,853.41
  5. Step 5: Solve for x
    x = 167,264,853.41/10,960.82
  6. Step 6: Final answer
    x = 15,260.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.