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Finding the Fourth Proportional to 12,672.36, 17,486.33 and 7,006.34

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Solution

The fourth proportional to 12,672.36, 17,486.33 and 7,006.34 is: 9,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,672.36 : 17,486.33 = 7,006.34 : x
  2. Step 2: Convert to fraction form
    12,672.36/17,486.33 = 7,006.34/x
  3. Step 3: Cross multiply
    12,672.36x = 17,486.33 × 7,006.34
  4. Step 4: Simplify right side
    12,672.36x = 122,515,221.43
  5. Step 5: Solve for x
    x = 122,515,221.43/12,672.36
  6. Step 6: Final answer
    x = 9,667.91

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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.