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Finding the Fourth Proportional to 27,082.35, 40,633.14 and 12,088.11

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Solution

The fourth proportional to 27,082.35, 40,633.14 and 12,088.11 is: 18,136.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082.35 : 40,633.14 = 12,088.11 : x
  2. Step 2: Convert to fraction form
    27,082.35/40,633.14 = 12,088.11/x
  3. Step 3: Cross multiply
    27,082.35x = 40,633.14 × 12,088.11
  4. Step 4: Simplify right side
    27,082.35x = 491,177,865.97
  5. Step 5: Solve for x
    x = 491,177,865.97/27,082.35
  6. Step 6: Final answer
    x = 18,136.46

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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.