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Finding the Fourth Proportional to 27,082.06, 40,627.44 and 8,357.68

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Solution

The fourth proportional to 27,082.06, 40,627.44 and 8,357.68 is: 12,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082.06 : 40,627.44 = 8,357.68 : x
  2. Step 2: Convert to fraction form
    27,082.06/40,627.44 = 8,357.68/x
  3. Step 3: Cross multiply
    27,082.06x = 40,627.44 × 8,357.68
  4. Step 4: Simplify right side
    27,082.06x = 339,551,142.74
  5. Step 5: Solve for x
    x = 339,551,142.74/27,082.06
  6. Step 6: Final answer
    x = 12,537.86

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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.