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Finding the Fourth Proportional to 16,649.87, 22,976.43 and 9,096.24

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Solution

The fourth proportional to 16,649.87, 22,976.43 and 9,096.24 is: 12,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.87 : 22,976.43 = 9,096.24 : x
  2. Step 2: Convert to fraction form
    16,649.87/22,976.43 = 9,096.24/x
  3. Step 3: Cross multiply
    16,649.87x = 22,976.43 × 9,096.24
  4. Step 4: Simplify right side
    16,649.87x = 208,999,121.62
  5. Step 5: Solve for x
    x = 208,999,121.62/16,649.87
  6. Step 6: Final answer
    x = 12,552.60

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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.