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Finding the Fourth Proportional to 22,426.64, 33,644.28 and 7,634.96

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Solution

The fourth proportional to 22,426.64, 33,644.28 and 7,634.96 is: 11,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,426.64 : 33,644.28 = 7,634.96 : x
  2. Step 2: Convert to fraction form
    22,426.64/33,644.28 = 7,634.96/x
  3. Step 3: Cross multiply
    22,426.64x = 33,644.28 × 7,634.96
  4. Step 4: Simplify right side
    22,426.64x = 256,872,732.03
  5. Step 5: Solve for x
    x = 256,872,732.03/22,426.64
  6. Step 6: Final answer
    x = 11,453.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.