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Finding the Fourth Proportional to 16,233.67, 24,353.81 and 6,238

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Solution

The fourth proportional to 16,233.67, 24,353.81 and 6,238 is: 9,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.67 : 24,353.81 = 6,238 : x
  2. Step 2: Convert to fraction form
    16,233.67/24,353.81 = 6,238/x
  3. Step 3: Cross multiply
    16,233.67x = 24,353.81 × 6,238
  4. Step 4: Simplify right side
    16,233.67x = 151,919,066.78
  5. Step 5: Solve for x
    x = 151,919,066.78/16,233.67
  6. Step 6: Final answer
    x = 9,358.27

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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.