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Finding the Fourth Proportional to 23,396.16, 32,286.16 and 12,786.08

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Solution

The fourth proportional to 23,396.16, 32,286.16 and 12,786.08 is: 17,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,396.16 : 32,286.16 = 12,786.08 : x
  2. Step 2: Convert to fraction form
    23,396.16/32,286.16 = 12,786.08/x
  3. Step 3: Cross multiply
    23,396.16x = 32,286.16 × 12,786.08
  4. Step 4: Simplify right side
    23,396.16x = 412,813,424.65
  5. Step 5: Solve for x
    x = 412,813,424.65/23,396.16
  6. Step 6: Final answer
    x = 17,644.49

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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.