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Finding the Fourth Proportional to 27,682.56, 41,499 and 10,140.12

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Solution

The fourth proportional to 27,682.56, 41,499 and 10,140.12 is: 15,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.56 : 41,499 = 10,140.12 : x
  2. Step 2: Convert to fraction form
    27,682.56/41,499 = 10,140.12/x
  3. Step 3: Cross multiply
    27,682.56x = 41,499 × 10,140.12
  4. Step 4: Simplify right side
    27,682.56x = 420,804,839.88
  5. Step 5: Solve for x
    x = 420,804,839.88/27,682.56
  6. Step 6: Final answer
    x = 15,201.08

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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.