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Finding the Fourth Proportional to 16,633.54, 24,943.02 and 6,238

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Solution

The fourth proportional to 16,633.54, 24,943.02 and 6,238 is: 9,354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,633.54 : 24,943.02 = 6,238 : x
  2. Step 2: Convert to fraction form
    16,633.54/24,943.02 = 6,238/x
  3. Step 3: Cross multiply
    16,633.54x = 24,943.02 × 6,238
  4. Step 4: Simplify right side
    16,633.54x = 155,594,558.76
  5. Step 5: Solve for x
    x = 155,594,558.76/16,633.54
  6. Step 6: Final answer
    x = 9,354.27

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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.