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Finding the Fourth Proportional to 12,443.22, 17,170.38 and 7,662.42

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Solution

The fourth proportional to 12,443.22, 17,170.38 and 7,662.42 is: 10,573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.22 : 17,170.38 = 7,662.42 : x
  2. Step 2: Convert to fraction form
    12,443.22/17,170.38 = 7,662.42/x
  3. Step 3: Cross multiply
    12,443.22x = 17,170.38 × 7,662.42
  4. Step 4: Simplify right side
    12,443.22x = 131,566,663.12
  5. Step 5: Solve for x
    x = 131,566,663.12/12,443.22
  6. Step 6: Final answer
    x = 10,573.36

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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.