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Finding the Fourth Proportional to 16,273.28, 22,457.16 and 8,821.28

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Solution

The fourth proportional to 16,273.28, 22,457.16 and 8,821.28 is: 12,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,273.28 : 22,457.16 = 8,821.28 : x
  2. Step 2: Convert to fraction form
    16,273.28/22,457.16 = 8,821.28/x
  3. Step 3: Cross multiply
    16,273.28x = 22,457.16 × 8,821.28
  4. Step 4: Simplify right side
    16,273.28x = 198,100,896.36
  5. Step 5: Solve for x
    x = 198,100,896.36/16,273.28
  6. Step 6: Final answer
    x = 12,173.38

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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.