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Finding the Fourth Proportional to 29,082.18, 43,557.66 and 13,467

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Solution

The fourth proportional to 29,082.18, 43,557.66 and 13,467 is: 20,170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,082.18 : 43,557.66 = 13,467 : x
  2. Step 2: Convert to fraction form
    29,082.18/43,557.66 = 13,467/x
  3. Step 3: Cross multiply
    29,082.18x = 43,557.66 × 13,467
  4. Step 4: Simplify right side
    29,082.18x = 586,591,007.22
  5. Step 5: Solve for x
    x = 586,591,007.22/29,082.18
  6. Step 6: Final answer
    x = 20,170.12

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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.