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Finding the Fourth Proportional to 23,388.12, 32,276.07 and 12,778.41

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Solution

The fourth proportional to 23,388.12, 32,276.07 and 12,778.41 is: 17,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,388.12 : 32,276.07 = 12,778.41 : x
  2. Step 2: Convert to fraction form
    23,388.12/32,276.07 = 12,778.41/x
  3. Step 3: Cross multiply
    23,388.12x = 32,276.07 × 12,778.41
  4. Step 4: Simplify right side
    23,388.12x = 412,436,855.65
  5. Step 5: Solve for x
    x = 412,436,855.65/23,388.12
  6. Step 6: Final answer
    x = 17,634.46

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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.