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Finding the Fourth Proportional to 23,506.81, 32,439.40 and 12,896.44

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Solution

The fourth proportional to 23,506.81, 32,439.40 and 12,896.44 is: 17,797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506.81 : 32,439.40 = 12,896.44 : x
  2. Step 2: Convert to fraction form
    23,506.81/32,439.40 = 12,896.44/x
  3. Step 3: Cross multiply
    23,506.81x = 32,439.40 × 12,896.44
  4. Step 4: Simplify right side
    23,506.81x = 418,352,613.54
  5. Step 5: Solve for x
    x = 418,352,613.54/23,506.81
  6. Step 6: Final answer
    x = 17,797.09

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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.