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Finding the Fourth Proportional to 16,718.41, 23,067.34 and 9,266.41

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Solution

The fourth proportional to 16,718.41, 23,067.34 and 9,266.41 is: 12,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,718.41 : 23,067.34 = 9,266.41 : x
  2. Step 2: Convert to fraction form
    16,718.41/23,067.34 = 9,266.41/x
  3. Step 3: Cross multiply
    16,718.41x = 23,067.34 × 9,266.41
  4. Step 4: Simplify right side
    16,718.41x = 213,751,430.05
  5. Step 5: Solve for x
    x = 213,751,430.05/16,718.41
  6. Step 6: Final answer
    x = 12,785.39

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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.