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Finding the Fourth Proportional to 14,828, 20,462.64 and 8,204

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Solution

The fourth proportional to 14,828, 20,462.64 and 8,204 is: 11,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,828 : 20,462.64 = 8,204 : x
  2. Step 2: Convert to fraction form
    14,828/20,462.64 = 8,204/x
  3. Step 3: Cross multiply
    14,828x = 20,462.64 × 8,204
  4. Step 4: Simplify right side
    14,828x = 167,875,498.56
  5. Step 5: Solve for x
    x = 167,875,498.56/14,828
  6. Step 6: Final answer
    x = 11,321.52

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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.