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Finding the Fourth Proportional to 38,313.28, 57,469.92 and 12,020

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Solution

The fourth proportional to 38,313.28, 57,469.92 and 12,020 is: 18,030

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,313.28 : 57,469.92 = 12,020 : x
  2. Step 2: Convert to fraction form
    38,313.28/57,469.92 = 12,020/x
  3. Step 3: Cross multiply
    38,313.28x = 57,469.92 × 12,020
  4. Step 4: Simplify right side
    38,313.28x = 690,788,438.40
  5. Step 5: Solve for x
    x = 690,788,438.40/38,313.28
  6. Step 6: Final answer
    x = 18,030

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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.