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Finding the Fourth Proportional to 14,616.87, 20,171.48 and 8,648.39

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Solution

The fourth proportional to 14,616.87, 20,171.48 and 8,648.39 is: 11,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.87 : 20,171.48 = 8,648.39 : x
  2. Step 2: Convert to fraction form
    14,616.87/20,171.48 = 8,648.39/x
  3. Step 3: Cross multiply
    14,616.87x = 20,171.48 × 8,648.39
  4. Step 4: Simplify right side
    14,616.87x = 174,450,825.92
  5. Step 5: Solve for x
    x = 174,450,825.92/14,616.87
  6. Step 6: Final answer
    x = 11,934.90

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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.