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Finding the Fourth Proportional to 16,489.26, 22,754.68 and 9,414.30

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Solution

The fourth proportional to 16,489.26, 22,754.68 and 9,414.30 is: 12,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.26 : 22,754.68 = 9,414.30 : x
  2. Step 2: Convert to fraction form
    16,489.26/22,754.68 = 9,414.30/x
  3. Step 3: Cross multiply
    16,489.26x = 22,754.68 × 9,414.30
  4. Step 4: Simplify right side
    16,489.26x = 214,219,383.92
  5. Step 5: Solve for x
    x = 214,219,383.92/16,489.26
  6. Step 6: Final answer
    x = 12,991.45

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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.