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Finding the Fourth Proportional to 21,034.71, 29,027.94 and 12,082.80

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Solution

The fourth proportional to 21,034.71, 29,027.94 and 12,082.80 is: 16,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034.71 : 29,027.94 = 12,082.80 : x
  2. Step 2: Convert to fraction form
    21,034.71/29,027.94 = 12,082.80/x
  3. Step 3: Cross multiply
    21,034.71x = 29,027.94 × 12,082.80
  4. Step 4: Simplify right side
    21,034.71x = 350,738,793.43
  5. Step 5: Solve for x
    x = 350,738,793.43/21,034.71
  6. Step 6: Final answer
    x = 16,674.29

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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.