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Finding the Fourth Proportional to 27,596.25, 38,082.83 and 15,021

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Solution

The fourth proportional to 27,596.25, 38,082.83 and 15,021 is: 20,728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596.25 : 38,082.83 = 15,021 : x
  2. Step 2: Convert to fraction form
    27,596.25/38,082.83 = 15,021/x
  3. Step 3: Cross multiply
    27,596.25x = 38,082.83 × 15,021
  4. Step 4: Simplify right side
    27,596.25x = 572,042,114.33
  5. Step 5: Solve for x
    x = 572,042,114.33/27,596.25
  6. Step 6: Final answer
    x = 20,728.98

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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.