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Finding the Fourth Proportional to 23,287.80, 32,136.12 and 12,677.16

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Solution

The fourth proportional to 23,287.80, 32,136.12 and 12,677.16 is: 17,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,287.80 : 32,136.12 = 12,677.16 : x
  2. Step 2: Convert to fraction form
    23,287.80/32,136.12 = 12,677.16/x
  3. Step 3: Cross multiply
    23,287.80x = 32,136.12 × 12,677.16
  4. Step 4: Simplify right side
    23,287.80x = 407,394,735.02
  5. Step 5: Solve for x
    x = 407,394,735.02/23,287.80
  6. Step 6: Final answer
    x = 17,493.91

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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.