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Finding the Fourth Proportional to 12,136.40, 16,739.61 and 8,101.20

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Solution

The fourth proportional to 12,136.40, 16,739.61 and 8,101.20 is: 11,173.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.40 : 16,739.61 = 8,101.20 : x
  2. Step 2: Convert to fraction form
    12,136.40/16,739.61 = 8,101.20/x
  3. Step 3: Cross multiply
    12,136.40x = 16,739.61 × 8,101.20
  4. Step 4: Simplify right side
    12,136.40x = 135,610,804.33
  5. Step 5: Solve for x
    x = 135,610,804.33/12,136.40
  6. Step 6: Final answer
    x = 11,173.89

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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.