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Finding the Fourth Proportional to 21,847.50, 30,153.69 and 13,898.97

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Solution

The fourth proportional to 21,847.50, 30,153.69 and 13,898.97 is: 19,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847.50 : 30,153.69 = 13,898.97 : x
  2. Step 2: Convert to fraction form
    21,847.50/30,153.69 = 13,898.97/x
  3. Step 3: Cross multiply
    21,847.50x = 30,153.69 × 13,898.97
  4. Step 4: Simplify right side
    21,847.50x = 419,105,232.70
  5. Step 5: Solve for x
    x = 419,105,232.70/21,847.50
  6. Step 6: Final answer
    x = 19,183.21

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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.