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Finding the Fourth Proportional to 23,396.96, 32,287.82 and 12,786.60

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Solution

The fourth proportional to 23,396.96, 32,287.82 and 12,786.60 is: 17,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,396.96 : 32,287.82 = 12,786.60 : x
  2. Step 2: Convert to fraction form
    23,396.96/32,287.82 = 12,786.60/x
  3. Step 3: Cross multiply
    23,396.96x = 32,287.82 × 12,786.60
  4. Step 4: Simplify right side
    23,396.96x = 412,851,277.77
  5. Step 5: Solve for x
    x = 412,851,277.77/23,396.96
  6. Step 6: Final answer
    x = 17,645.51

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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.