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Finding the Fourth Proportional to 23,396.46, 32,287.13 and 12,786.10

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Solution

The fourth proportional to 23,396.46, 32,287.13 and 12,786.10 is: 17,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,396.46 : 32,287.13 = 12,786.10 : x
  2. Step 2: Convert to fraction form
    23,396.46/32,287.13 = 12,786.10/x
  3. Step 3: Cross multiply
    23,396.46x = 32,287.13 × 12,786.10
  4. Step 4: Simplify right side
    23,396.46x = 412,826,311.46
  5. Step 5: Solve for x
    x = 412,826,311.46/23,396.46
  6. Step 6: Final answer
    x = 17,644.82

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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.