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Finding the Fourth Proportional to 11,191.84, 16,796.16 and 9,026.56

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Solution

The fourth proportional to 11,191.84, 16,796.16 and 9,026.56 is: 13,546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.84 : 16,796.16 = 9,026.56 : x
  2. Step 2: Convert to fraction form
    11,191.84/16,796.16 = 9,026.56/x
  3. Step 3: Cross multiply
    11,191.84x = 16,796.16 × 9,026.56
  4. Step 4: Simplify right side
    11,191.84x = 151,611,546.01
  5. Step 5: Solve for x
    x = 151,611,546.01/11,191.84
  6. Step 6: Final answer
    x = 13,546.61

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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.