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Finding the Fourth Proportional to 21,467.72, 32,201.67 and 7,607

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Solution

The fourth proportional to 21,467.72, 32,201.67 and 7,607 is: 11,410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,467.72 : 32,201.67 = 7,607 : x
  2. Step 2: Convert to fraction form
    21,467.72/32,201.67 = 7,607/x
  3. Step 3: Cross multiply
    21,467.72x = 32,201.67 × 7,607
  4. Step 4: Simplify right side
    21,467.72x = 244,958,103.69
  5. Step 5: Solve for x
    x = 244,958,103.69/21,467.72
  6. Step 6: Final answer
    x = 11,410.53

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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.