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Finding the Fourth Proportional to 12,653.96, 18,992.46 and 6,735.82

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Solution

The fourth proportional to 12,653.96, 18,992.46 and 6,735.82 is: 10,109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.96 : 18,992.46 = 6,735.82 : x
  2. Step 2: Convert to fraction form
    12,653.96/18,992.46 = 6,735.82/x
  3. Step 3: Cross multiply
    12,653.96x = 18,992.46 × 6,735.82
  4. Step 4: Simplify right side
    12,653.96x = 127,929,791.92
  5. Step 5: Solve for x
    x = 127,929,791.92/12,653.96
  6. Step 6: Final answer
    x = 10,109.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.