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Finding the Fourth Proportional to 27,584.76, 38,082.48 and 21,112.20

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Solution

The fourth proportional to 27,584.76, 38,082.48 and 21,112.20 is: 29,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584.76 : 38,082.48 = 21,112.20 : x
  2. Step 2: Convert to fraction form
    27,584.76/38,082.48 = 21,112.20/x
  3. Step 3: Cross multiply
    27,584.76x = 38,082.48 × 21,112.20
  4. Step 4: Simplify right side
    27,584.76x = 804,004,934.26
  5. Step 5: Solve for x
    x = 804,004,934.26/27,584.76
  6. Step 6: Final answer
    x = 29,146.71

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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.