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Finding the Fourth Proportional to 27,082.80, 37,372.56 and 15,147

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Solution

The fourth proportional to 27,082.80, 37,372.56 and 15,147 is: 20,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082.80 : 37,372.56 = 15,147 : x
  2. Step 2: Convert to fraction form
    27,082.80/37,372.56 = 15,147/x
  3. Step 3: Cross multiply
    27,082.80x = 37,372.56 × 15,147
  4. Step 4: Simplify right side
    27,082.80x = 566,082,166.32
  5. Step 5: Solve for x
    x = 566,082,166.32/27,082.80
  6. Step 6: Final answer
    x = 20,901.91

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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.