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Finding the Fourth Proportional to 23,651.98, 32,639.29 and 12,896.98

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Solution

The fourth proportional to 23,651.98, 32,639.29 and 12,896.98 is: 17,797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,651.98 : 32,639.29 = 12,896.98 : x
  2. Step 2: Convert to fraction form
    23,651.98/32,639.29 = 12,896.98/x
  3. Step 3: Cross multiply
    23,651.98x = 32,639.29 × 12,896.98
  4. Step 4: Simplify right side
    23,651.98x = 420,948,270.34
  5. Step 5: Solve for x
    x = 420,948,270.34/23,651.98
  6. Step 6: Final answer
    x = 17,797.59

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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.