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Finding the Fourth Proportional to 15,899.76, 21,942.96 and 8,826.84

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Solution

The fourth proportional to 15,899.76, 21,942.96 and 8,826.84 is: 12,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,899.76 : 21,942.96 = 8,826.84 : x
  2. Step 2: Convert to fraction form
    15,899.76/21,942.96 = 8,826.84/x
  3. Step 3: Cross multiply
    15,899.76x = 21,942.96 × 8,826.84
  4. Step 4: Simplify right side
    15,899.76x = 193,686,997.05
  5. Step 5: Solve for x
    x = 193,686,997.05/15,899.76
  6. Step 6: Final answer
    x = 12,181.76

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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.