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Finding the Fourth Proportional to 21,190.87, 31,786.30 and 5,608.50

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Solution

The fourth proportional to 21,190.87, 31,786.30 and 5,608.50 is: 8,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,190.87 : 31,786.30 = 5,608.50 : x
  2. Step 2: Convert to fraction form
    21,190.87/31,786.30 = 5,608.50/x
  3. Step 3: Cross multiply
    21,190.87x = 31,786.30 × 5,608.50
  4. Step 4: Simplify right side
    21,190.87x = 178,273,463.55
  5. Step 5: Solve for x
    x = 178,273,463.55/21,190.87
  6. Step 6: Final answer
    x = 8,412.75

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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.