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Finding the Fourth Proportional to 21,767.68, 32,651.52 and 8,629.30

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Solution

The fourth proportional to 21,767.68, 32,651.52 and 8,629.30 is: 12,943.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,767.68 : 32,651.52 = 8,629.30 : x
  2. Step 2: Convert to fraction form
    21,767.68/32,651.52 = 8,629.30/x
  3. Step 3: Cross multiply
    21,767.68x = 32,651.52 × 8,629.30
  4. Step 4: Simplify right side
    21,767.68x = 281,759,761.54
  5. Step 5: Solve for x
    x = 281,759,761.54/21,767.68
  6. Step 6: Final answer
    x = 12,943.95

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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.