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Finding the Fourth Proportional to 22,591.84, 33,899.32 and 10,759

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Solution

The fourth proportional to 22,591.84, 33,899.32 and 10,759 is: 16,144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,591.84 : 33,899.32 = 10,759 : x
  2. Step 2: Convert to fraction form
    22,591.84/33,899.32 = 10,759/x
  3. Step 3: Cross multiply
    22,591.84x = 33,899.32 × 10,759
  4. Step 4: Simplify right side
    22,591.84x = 364,722,783.88
  5. Step 5: Solve for x
    x = 364,722,783.88/22,591.84
  6. Step 6: Final answer
    x = 16,144.01

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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.