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Finding the Fourth Proportional to 16,441.85, 24,663.08 and 5,348.50

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Solution

The fourth proportional to 16,441.85, 24,663.08 and 5,348.50 is: 8,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441.85 : 24,663.08 = 5,348.50 : x
  2. Step 2: Convert to fraction form
    16,441.85/24,663.08 = 5,348.50/x
  3. Step 3: Cross multiply
    16,441.85x = 24,663.08 × 5,348.50
  4. Step 4: Simplify right side
    16,441.85x = 131,910,435.09
  5. Step 5: Solve for x
    x = 131,910,435.09/16,441.85
  6. Step 6: Final answer
    x = 8,022.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.