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Finding the Fourth Proportional to 14,481.50, 21,722.49 and 5,716.34

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Solution

The fourth proportional to 14,481.50, 21,722.49 and 5,716.34 is: 8,574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,481.50 : 21,722.49 = 5,716.34 : x
  2. Step 2: Convert to fraction form
    14,481.50/21,722.49 = 5,716.34/x
  3. Step 3: Cross multiply
    14,481.50x = 21,722.49 × 5,716.34
  4. Step 4: Simplify right side
    14,481.50x = 124,173,138.49
  5. Step 5: Solve for x
    x = 124,173,138.49/14,481.50
  6. Step 6: Final answer
    x = 8,574.60

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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.