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Finding the Fourth Proportional to 12,634.42, 17,422.58 and 8,383.98

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Solution

The fourth proportional to 12,634.42, 17,422.58 and 8,383.98 is: 11,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.42 : 17,422.58 = 8,383.98 : x
  2. Step 2: Convert to fraction form
    12,634.42/17,422.58 = 8,383.98/x
  3. Step 3: Cross multiply
    12,634.42x = 17,422.58 × 8,383.98
  4. Step 4: Simplify right side
    12,634.42x = 146,070,562.27
  5. Step 5: Solve for x
    x = 146,070,562.27/12,634.42
  6. Step 6: Final answer
    x = 11,561.32

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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.