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Finding the Fourth Proportional to 12,584.90, 18,877.38 and 3,819.88

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Solution

The fourth proportional to 12,584.90, 18,877.38 and 3,819.88 is: 5,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.90 : 18,877.38 = 3,819.88 : x
  2. Step 2: Convert to fraction form
    12,584.90/18,877.38 = 3,819.88/x
  3. Step 3: Cross multiply
    12,584.90x = 18,877.38 × 3,819.88
  4. Step 4: Simplify right side
    12,584.90x = 72,109,326.31
  5. Step 5: Solve for x
    x = 72,109,326.31/12,584.90
  6. Step 6: Final answer
    x = 5,729.83

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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.