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Finding the Fourth Proportional to 14,716.75, 20,309.19 and 8,002.43

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Solution

The fourth proportional to 14,716.75, 20,309.19 and 8,002.43 is: 11,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.75 : 20,309.19 = 8,002.43 : x
  2. Step 2: Convert to fraction form
    14,716.75/20,309.19 = 8,002.43/x
  3. Step 3: Cross multiply
    14,716.75x = 20,309.19 × 8,002.43
  4. Step 4: Simplify right side
    14,716.75x = 162,522,871.33
  5. Step 5: Solve for x
    x = 162,522,871.33/14,716.75
  6. Step 6: Final answer
    x = 11,043.39

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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.