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Finding the Fourth Proportional to 16,843.71, 23,243.77 and 9,290.35

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Solution

The fourth proportional to 16,843.71, 23,243.77 and 9,290.35 is: 12,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.71 : 23,243.77 = 9,290.35 : x
  2. Step 2: Convert to fraction form
    16,843.71/23,243.77 = 9,290.35/x
  3. Step 3: Cross multiply
    16,843.71x = 23,243.77 × 9,290.35
  4. Step 4: Simplify right side
    16,843.71x = 215,942,758.62
  5. Step 5: Solve for x
    x = 215,942,758.62/16,843.71
  6. Step 6: Final answer
    x = 12,820.38

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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.