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Finding the Fourth Proportional to 14,456.44, 19,949.92 and 8,168.82

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Solution

The fourth proportional to 14,456.44, 19,949.92 and 8,168.82 is: 11,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.44 : 19,949.92 = 8,168.82 : x
  2. Step 2: Convert to fraction form
    14,456.44/19,949.92 = 8,168.82/x
  3. Step 3: Cross multiply
    14,456.44x = 19,949.92 × 8,168.82
  4. Step 4: Simplify right side
    14,456.44x = 162,967,305.49
  5. Step 5: Solve for x
    x = 162,967,305.49/14,456.44
  6. Step 6: Final answer
    x = 11,272.99

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1.5x scale

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.