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Finding the Fourth Proportional to 16,029, 22,120.02 and 8,957.09

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Solution

The fourth proportional to 16,029, 22,120.02 and 8,957.09 is: 12,360.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029 : 22,120.02 = 8,957.09 : x
  2. Step 2: Convert to fraction form
    16,029/22,120.02 = 8,957.09/x
  3. Step 3: Cross multiply
    16,029x = 22,120.02 × 8,957.09
  4. Step 4: Simplify right side
    16,029x = 198,131,065.24
  5. Step 5: Solve for x
    x = 198,131,065.24/16,029
  6. Step 6: Final answer
    x = 12,360.79

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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.