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Finding the Fourth Proportional to 43,060.84, 64,591.14 and 11,896

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Solution

The fourth proportional to 43,060.84, 64,591.14 and 11,896 is: 17,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,060.84 : 64,591.14 = 11,896 : x
  2. Step 2: Convert to fraction form
    43,060.84/64,591.14 = 11,896/x
  3. Step 3: Cross multiply
    43,060.84x = 64,591.14 × 11,896
  4. Step 4: Simplify right side
    43,060.84x = 768,376,201.44
  5. Step 5: Solve for x
    x = 768,376,201.44/43,060.84
  6. Step 6: Final answer
    x = 17,843.97

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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.