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Finding the Fourth Proportional to 16,274.34, 22,458.31 and 9,104.42

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Solution

The fourth proportional to 16,274.34, 22,458.31 and 9,104.42 is: 12,563.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.34 : 22,458.31 = 9,104.42 : x
  2. Step 2: Convert to fraction form
    16,274.34/22,458.31 = 9,104.42/x
  3. Step 3: Cross multiply
    16,274.34x = 22,458.31 × 9,104.42
  4. Step 4: Simplify right side
    16,274.34x = 204,469,886.73
  5. Step 5: Solve for x
    x = 204,469,886.73/16,274.34
  6. Step 6: Final answer
    x = 12,563.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.