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Finding the Fourth Proportional to 16,181.79, 24,282.11 and 6,821.23

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Solution

The fourth proportional to 16,181.79, 24,282.11 and 6,821.23 is: 10,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181.79 : 24,282.11 = 6,821.23 : x
  2. Step 2: Convert to fraction form
    16,181.79/24,282.11 = 6,821.23/x
  3. Step 3: Cross multiply
    16,181.79x = 24,282.11 × 6,821.23
  4. Step 4: Simplify right side
    16,181.79x = 165,633,874.25
  5. Step 5: Solve for x
    x = 165,633,874.25/16,181.79
  6. Step 6: Final answer
    x = 10,235.82

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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.