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Finding the Fourth Proportional to 14,653.36, 20,221.73 and 8,193

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Solution

The fourth proportional to 14,653.36, 20,221.73 and 8,193 is: 11,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.36 : 20,221.73 = 8,193 : x
  2. Step 2: Convert to fraction form
    14,653.36/20,221.73 = 8,193/x
  3. Step 3: Cross multiply
    14,653.36x = 20,221.73 × 8,193
  4. Step 4: Simplify right side
    14,653.36x = 165,676,633.89
  5. Step 5: Solve for x
    x = 165,676,633.89/14,653.36
  6. Step 6: Final answer
    x = 11,306.39

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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.