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Finding the Fourth Proportional to 18,571.50, 25,628.81 and 10,188

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Solution

The fourth proportional to 18,571.50, 25,628.81 and 10,188 is: 14,059.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,571.50 : 25,628.81 = 10,188 : x
  2. Step 2: Convert to fraction form
    18,571.50/25,628.81 = 10,188/x
  3. Step 3: Cross multiply
    18,571.50x = 25,628.81 × 10,188
  4. Step 4: Simplify right side
    18,571.50x = 261,106,265.34
  5. Step 5: Solve for x
    x = 261,106,265.34/18,571.50
  6. Step 6: Final answer
    x = 14,059.51

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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.