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Finding the Fourth Proportional to 16,381.62, 24,558.12 and 5,850

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Solution

The fourth proportional to 16,381.62, 24,558.12 and 5,850 is: 8,769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.62 : 24,558.12 = 5,850 : x
  2. Step 2: Convert to fraction form
    16,381.62/24,558.12 = 5,850/x
  3. Step 3: Cross multiply
    16,381.62x = 24,558.12 × 5,850
  4. Step 4: Simplify right side
    16,381.62x = 143,665,002
  5. Step 5: Solve for x
    x = 143,665,002/16,381.62
  6. Step 6: Final answer
    x = 8,769.89

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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.