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Finding the Fourth Proportional to 12,992.88, 17,930.04 and 7,404

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Solution

The fourth proportional to 12,992.88, 17,930.04 and 7,404 is: 10,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.88 : 17,930.04 = 7,404 : x
  2. Step 2: Convert to fraction form
    12,992.88/17,930.04 = 7,404/x
  3. Step 3: Cross multiply
    12,992.88x = 17,930.04 × 7,404
  4. Step 4: Simplify right side
    12,992.88x = 132,754,016.16
  5. Step 5: Solve for x
    x = 132,754,016.16/12,992.88
  6. Step 6: Final answer
    x = 10,217.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.