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Finding the Fourth Proportional to 11,821.76, 16,315.18 and 8,832.41

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Solution

The fourth proportional to 11,821.76, 16,315.18 and 8,832.41 is: 12,189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.76 : 16,315.18 = 8,832.41 : x
  2. Step 2: Convert to fraction form
    11,821.76/16,315.18 = 8,832.41/x
  3. Step 3: Cross multiply
    11,821.76x = 16,315.18 × 8,832.41
  4. Step 4: Simplify right side
    11,821.76x = 144,102,255.33
  5. Step 5: Solve for x
    x = 144,102,255.33/11,821.76
  6. Step 6: Final answer
    x = 12,189.58

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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.