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Finding the Fourth Proportional to 17,644.96, 26,467.28 and 7,784.24

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Solution

The fourth proportional to 17,644.96, 26,467.28 and 7,784.24 is: 11,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.96 : 26,467.28 = 7,784.24 : x
  2. Step 2: Convert to fraction form
    17,644.96/26,467.28 = 7,784.24/x
  3. Step 3: Cross multiply
    17,644.96x = 26,467.28 × 7,784.24
  4. Step 4: Simplify right side
    17,644.96x = 206,027,620.75
  5. Step 5: Solve for x
    x = 206,027,620.75/17,644.96
  6. Step 6: Final answer
    x = 11,676.29

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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.