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Finding the Fourth Proportional to 22,504.84, 33,757.97 and 7,713.63

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Solution

The fourth proportional to 22,504.84, 33,757.97 and 7,713.63 is: 11,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,504.84 : 33,757.97 = 7,713.63 : x
  2. Step 2: Convert to fraction form
    22,504.84/33,757.97 = 7,713.63/x
  3. Step 3: Cross multiply
    22,504.84x = 33,757.97 × 7,713.63
  4. Step 4: Simplify right side
    22,504.84x = 260,396,451.56
  5. Step 5: Solve for x
    x = 260,396,451.56/22,504.84
  6. Step 6: Final answer
    x = 11,570.69

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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.