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Finding the Fourth Proportional to 12,584.44, 18,876.50 and 5,087.89

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Solution

The fourth proportional to 12,584.44, 18,876.50 and 5,087.89 is: 7,631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.44 : 18,876.50 = 5,087.89 : x
  2. Step 2: Convert to fraction form
    12,584.44/18,876.50 = 5,087.89/x
  3. Step 3: Cross multiply
    12,584.44x = 18,876.50 × 5,087.89
  4. Step 4: Simplify right side
    12,584.44x = 96,041,435.76
  5. Step 5: Solve for x
    x = 96,041,435.76/12,584.44
  6. Step 6: Final answer
    x = 7,631.76

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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.