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Finding the Fourth Proportional to 16,247.75, 24,371.62 and 5,859.50

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Solution

The fourth proportional to 16,247.75, 24,371.62 and 5,859.50 is: 8,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,247.75 : 24,371.62 = 5,859.50 : x
  2. Step 2: Convert to fraction form
    16,247.75/24,371.62 = 5,859.50/x
  3. Step 3: Cross multiply
    16,247.75x = 24,371.62 × 5,859.50
  4. Step 4: Simplify right side
    16,247.75x = 142,805,370.88
  5. Step 5: Solve for x
    x = 142,805,370.88/16,247.75
  6. Step 6: Final answer
    x = 8,789.24

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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.