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Finding the Fourth Proportional to 16,715.88, 23,067.60 and 9,162

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Solution

The fourth proportional to 16,715.88, 23,067.60 and 9,162 is: 12,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,715.88 : 23,067.60 = 9,162 : x
  2. Step 2: Convert to fraction form
    16,715.88/23,067.60 = 9,162/x
  3. Step 3: Cross multiply
    16,715.88x = 23,067.60 × 9,162
  4. Step 4: Simplify right side
    16,715.88x = 211,345,351.20
  5. Step 5: Solve for x
    x = 211,345,351.20/16,715.88
  6. Step 6: Final answer
    x = 12,643.39

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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.