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Finding the Fourth Proportional to 11,821.51, 16,314.83 and 8,832.16

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Solution

The fourth proportional to 11,821.51, 16,314.83 and 8,832.16 is: 12,189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.51 : 16,314.83 = 8,832.16 : x
  2. Step 2: Convert to fraction form
    11,821.51/16,314.83 = 8,832.16/x
  3. Step 3: Cross multiply
    11,821.51x = 16,314.83 × 8,832.16
  4. Step 4: Simplify right side
    11,821.51x = 144,095,129.44
  5. Step 5: Solve for x
    x = 144,095,129.44/11,821.51
  6. Step 6: Final answer
    x = 12,189.23

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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.