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Finding the Fourth Proportional to 16,331.29, 24,497.07 and 5,238

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Solution

The fourth proportional to 16,331.29, 24,497.07 and 5,238 is: 7,857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,331.29 : 24,497.07 = 5,238 : x
  2. Step 2: Convert to fraction form
    16,331.29/24,497.07 = 5,238/x
  3. Step 3: Cross multiply
    16,331.29x = 24,497.07 × 5,238
  4. Step 4: Simplify right side
    16,331.29x = 128,315,652.66
  5. Step 5: Solve for x
    x = 128,315,652.66/16,331.29
  6. Step 6: Final answer
    x = 7,857.04

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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.