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Finding the Fourth Proportional to 16,563.26, 22,857.20 and 9,394.52

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Solution

The fourth proportional to 16,563.26, 22,857.20 and 9,394.52 is: 12,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.26 : 22,857.20 = 9,394.52 : x
  2. Step 2: Convert to fraction form
    16,563.26/22,857.20 = 9,394.52/x
  3. Step 3: Cross multiply
    16,563.26x = 22,857.20 × 9,394.52
  4. Step 4: Simplify right side
    16,563.26x = 214,732,422.54
  5. Step 5: Solve for x
    x = 214,732,422.54/16,563.26
  6. Step 6: Final answer
    x = 12,964.38

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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.