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Finding the Fourth Proportional to 12,442.22, 17,173.79 and 8,196.38

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Solution

The fourth proportional to 12,442.22, 17,173.79 and 8,196.38 is: 11,313.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.22 : 17,173.79 = 8,196.38 : x
  2. Step 2: Convert to fraction form
    12,442.22/17,173.79 = 8,196.38/x
  3. Step 3: Cross multiply
    12,442.22x = 17,173.79 × 8,196.38
  4. Step 4: Simplify right side
    12,442.22x = 140,762,908.88
  5. Step 5: Solve for x
    x = 140,762,908.88/12,442.22
  6. Step 6: Final answer
    x = 11,313.33

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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.