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Finding the Fourth Proportional to 13,591.82, 18,756.89 and 8,213.51

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Solution

The fourth proportional to 13,591.82, 18,756.89 and 8,213.51 is: 11,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,591.82 : 18,756.89 = 8,213.51 : x
  2. Step 2: Convert to fraction form
    13,591.82/18,756.89 = 8,213.51/x
  3. Step 3: Cross multiply
    13,591.82x = 18,756.89 × 8,213.51
  4. Step 4: Simplify right side
    13,591.82x = 154,059,768.73
  5. Step 5: Solve for x
    x = 154,059,768.73/13,591.82
  6. Step 6: Final answer
    x = 11,334.75

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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.