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Finding the Fourth Proportional to 18,381.28, 25,361.74 and 10,827.02

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Solution

The fourth proportional to 18,381.28, 25,361.74 and 10,827.02 is: 14,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,381.28 : 25,361.74 = 10,827.02 : x
  2. Step 2: Convert to fraction form
    18,381.28/25,361.74 = 10,827.02/x
  3. Step 3: Cross multiply
    18,381.28x = 25,361.74 × 10,827.02
  4. Step 4: Simplify right side
    18,381.28x = 274,591,912.34
  5. Step 5: Solve for x
    x = 274,591,912.34/18,381.28
  6. Step 6: Final answer
    x = 14,938.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.