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Finding the Fourth Proportional to 14,736, 20,335.62 and 8,448.24

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Solution

The fourth proportional to 14,736, 20,335.62 and 8,448.24 is: 11,658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,736 : 20,335.62 = 8,448.24 : x
  2. Step 2: Convert to fraction form
    14,736/20,335.62 = 8,448.24/x
  3. Step 3: Cross multiply
    14,736x = 20,335.62 × 8,448.24
  4. Step 4: Simplify right side
    14,736x = 171,800,198.31
  5. Step 5: Solve for x
    x = 171,800,198.31/14,736
  6. Step 6: Final answer
    x = 11,658.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.