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Finding the Fourth Proportional to 14,716.67, 20,309.10 and 8,002.37

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Solution

The fourth proportional to 14,716.67, 20,309.10 and 8,002.37 is: 11,043.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.67 : 20,309.10 = 8,002.37 : x
  2. Step 2: Convert to fraction form
    14,716.67/20,309.10 = 8,002.37/x
  3. Step 3: Cross multiply
    14,716.67x = 20,309.10 × 8,002.37
  4. Step 4: Simplify right side
    14,716.67x = 162,520,932.57
  5. Step 5: Solve for x
    x = 162,520,932.57/14,716.67
  6. Step 6: Final answer
    x = 11,043.32

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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.