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Finding the Fourth Proportional to 14,917.29, 20,584.27 and 8,628.49

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Solution

The fourth proportional to 14,917.29, 20,584.27 and 8,628.49 is: 11,906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,917.29 : 20,584.27 = 8,628.49 : x
  2. Step 2: Convert to fraction form
    14,917.29/20,584.27 = 8,628.49/x
  3. Step 3: Cross multiply
    14,917.29x = 20,584.27 × 8,628.49
  4. Step 4: Simplify right side
    14,917.29x = 177,611,124.71
  5. Step 5: Solve for x
    x = 177,611,124.71/14,917.29
  6. Step 6: Final answer
    x = 11,906.39

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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.