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Finding the Fourth Proportional to 16,273.72, 24,410.99 and 4,586.50

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Solution

The fourth proportional to 16,273.72, 24,410.99 and 4,586.50 is: 6,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,273.72 : 24,410.99 = 4,586.50 : x
  2. Step 2: Convert to fraction form
    16,273.72/24,410.99 = 4,586.50/x
  3. Step 3: Cross multiply
    16,273.72x = 24,410.99 × 4,586.50
  4. Step 4: Simplify right side
    16,273.72x = 111,961,005.64
  5. Step 5: Solve for x
    x = 111,961,005.64/16,273.72
  6. Step 6: Final answer
    x = 6,879.87

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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.