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Finding the Fourth Proportional to 16,012.48, 23,968.48 and 11,628.80

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Solution

The fourth proportional to 16,012.48, 23,968.48 and 11,628.80 is: 17,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.48 : 23,968.48 = 11,628.80 : x
  2. Step 2: Convert to fraction form
    16,012.48/23,968.48 = 11,628.80/x
  3. Step 3: Cross multiply
    16,012.48x = 23,968.48 × 11,628.80
  4. Step 4: Simplify right side
    16,012.48x = 278,724,660.22
  5. Step 5: Solve for x
    x = 278,724,660.22/16,012.48
  6. Step 6: Final answer
    x = 17,406.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.