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Finding the Fourth Proportional to 12,591, 18,881.46 and 3,824.28

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Solution

The fourth proportional to 12,591, 18,881.46 and 3,824.28 is: 5,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591 : 18,881.46 = 3,824.28 : x
  2. Step 2: Convert to fraction form
    12,591/18,881.46 = 3,824.28/x
  3. Step 3: Cross multiply
    12,591x = 18,881.46 × 3,824.28
  4. Step 4: Simplify right side
    12,591x = 72,207,989.85
  5. Step 5: Solve for x
    x = 72,207,989.85/12,591
  6. Step 6: Final answer
    x = 5,734.89

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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.