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Finding the Fourth Proportional to 11,321.48, 16,968.24 and 8,212.16

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Solution

The fourth proportional to 11,321.48, 16,968.24 and 8,212.16 is: 12,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321.48 : 16,968.24 = 8,212.16 : x
  2. Step 2: Convert to fraction form
    11,321.48/16,968.24 = 8,212.16/x
  3. Step 3: Cross multiply
    11,321.48x = 16,968.24 × 8,212.16
  4. Step 4: Simplify right side
    11,321.48x = 139,345,901.80
  5. Step 5: Solve for x
    x = 139,345,901.80/11,321.48
  6. Step 6: Final answer
    x = 12,308.10

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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.