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Finding the Fourth Proportional to 13,103.89, 18,082.46 and 7,438.75

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Solution

The fourth proportional to 13,103.89, 18,082.46 and 7,438.75 is: 10,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.89 : 18,082.46 = 7,438.75 : x
  2. Step 2: Convert to fraction form
    13,103.89/18,082.46 = 7,438.75/x
  3. Step 3: Cross multiply
    13,103.89x = 18,082.46 × 7,438.75
  4. Step 4: Simplify right side
    13,103.89x = 134,510,872.72
  5. Step 5: Solve for x
    x = 134,510,872.72/13,103.89
  6. Step 6: Final answer
    x = 10,264.96

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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.