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Finding the Fourth Proportional to 11,469.60, 17,112.60 and 10,222.20

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Solution

The fourth proportional to 11,469.60, 17,112.60 and 10,222.20 is: 15,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.60 : 17,112.60 = 10,222.20 : x
  2. Step 2: Convert to fraction form
    11,469.60/17,112.60 = 10,222.20/x
  3. Step 3: Cross multiply
    11,469.60x = 17,112.60 × 10,222.20
  4. Step 4: Simplify right side
    11,469.60x = 174,928,419.72
  5. Step 5: Solve for x
    x = 174,928,419.72/11,469.60
  6. Step 6: Final answer
    x = 15,251.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.