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Finding the Fourth Proportional to 11,822.53, 16,321.63 and 8,632.62

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Solution

The fourth proportional to 11,822.53, 16,321.63 and 8,632.62 is: 11,917.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.53 : 16,321.63 = 8,632.62 : x
  2. Step 2: Convert to fraction form
    11,822.53/16,321.63 = 8,632.62/x
  3. Step 3: Cross multiply
    11,822.53x = 16,321.63 × 8,632.62
  4. Step 4: Simplify right side
    11,822.53x = 140,898,429.57
  5. Step 5: Solve for x
    x = 140,898,429.57/11,822.53
  6. Step 6: Final answer
    x = 11,917.79

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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.