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Finding the Fourth Proportional to 24,654.38, 36,981.56 and 8,238.38

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Solution

The fourth proportional to 24,654.38, 36,981.56 and 8,238.38 is: 12,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,654.38 : 36,981.56 = 8,238.38 : x
  2. Step 2: Convert to fraction form
    24,654.38/36,981.56 = 8,238.38/x
  3. Step 3: Cross multiply
    24,654.38x = 36,981.56 × 8,238.38
  4. Step 4: Simplify right side
    24,654.38x = 304,667,979.96
  5. Step 5: Solve for x
    x = 304,667,979.96/24,654.38
  6. Step 6: Final answer
    x = 12,357.56

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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.