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Finding the Fourth Proportional to 11,960.76, 17,907 and 9,499.08

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Solution

The fourth proportional to 11,960.76, 17,907 and 9,499.08 is: 14,221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.76 : 17,907 = 9,499.08 : x
  2. Step 2: Convert to fraction form
    11,960.76/17,907 = 9,499.08/x
  3. Step 3: Cross multiply
    11,960.76x = 17,907 × 9,499.08
  4. Step 4: Simplify right side
    11,960.76x = 170,100,025.56
  5. Step 5: Solve for x
    x = 170,100,025.56/11,960.76
  6. Step 6: Final answer
    x = 14,221.51

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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.