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Finding the Fourth Proportional to 16,520.49, 24,782.94 and 4,833.54

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Solution

The fourth proportional to 16,520.49, 24,782.94 and 4,833.54 is: 7,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,520.49 : 24,782.94 = 4,833.54 : x
  2. Step 2: Convert to fraction form
    16,520.49/24,782.94 = 4,833.54/x
  3. Step 3: Cross multiply
    16,520.49x = 24,782.94 × 4,833.54
  4. Step 4: Simplify right side
    16,520.49x = 119,789,331.81
  5. Step 5: Solve for x
    x = 119,789,331.81/16,520.49
  6. Step 6: Final answer
    x = 7,250.96

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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.