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Finding the Fourth Proportional to 16,716.38, 23,068.80 and 9,644.27

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Solution

The fourth proportional to 16,716.38, 23,068.80 and 9,644.27 is: 13,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716.38 : 23,068.80 = 9,644.27 : x
  2. Step 2: Convert to fraction form
    16,716.38/23,068.80 = 9,644.27/x
  3. Step 3: Cross multiply
    16,716.38x = 23,068.80 × 9,644.27
  4. Step 4: Simplify right side
    16,716.38x = 222,481,620.43
  5. Step 5: Solve for x
    x = 222,481,620.43/16,716.38
  6. Step 6: Final answer
    x = 13,309.20

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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.