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Finding the Fourth Proportional to 38,704.94, 58,065.62 and 12,428.14

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Solution

The fourth proportional to 38,704.94, 58,065.62 and 12,428.14 is: 18,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,704.94 : 58,065.62 = 12,428.14 : x
  2. Step 2: Convert to fraction form
    38,704.94/58,065.62 = 12,428.14/x
  3. Step 3: Cross multiply
    38,704.94x = 58,065.62 × 12,428.14
  4. Step 4: Simplify right side
    38,704.94x = 721,647,654.55
  5. Step 5: Solve for x
    x = 721,647,654.55/38,704.94
  6. Step 6: Final answer
    x = 18,644.85

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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.