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Finding the Fourth Proportional to 27,082.77, 40,638.32 and 11,084.18

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Solution

The fourth proportional to 27,082.77, 40,638.32 and 11,084.18 is: 16,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082.77 : 40,638.32 = 11,084.18 : x
  2. Step 2: Convert to fraction form
    27,082.77/40,638.32 = 11,084.18/x
  3. Step 3: Cross multiply
    27,082.77x = 40,638.32 × 11,084.18
  4. Step 4: Simplify right side
    27,082.77x = 450,442,319.85
  5. Step 5: Solve for x
    x = 450,442,319.85/27,082.77
  6. Step 6: Final answer
    x = 16,632.06

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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.