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Finding the Fourth Proportional to 21,382.53, 32,051.11 and 8,229.21

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Solution

The fourth proportional to 21,382.53, 32,051.11 and 8,229.21 is: 12,335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.53 : 32,051.11 = 8,229.21 : x
  2. Step 2: Convert to fraction form
    21,382.53/32,051.11 = 8,229.21/x
  3. Step 3: Cross multiply
    21,382.53x = 32,051.11 × 8,229.21
  4. Step 4: Simplify right side
    21,382.53x = 263,755,314.92
  5. Step 5: Solve for x
    x = 263,755,314.92/21,382.53
  6. Step 6: Final answer
    x = 12,335.08

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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.