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Finding the Fourth Proportional to 16,121.80, 22,251.40 and 10,149.46

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Solution

The fourth proportional to 16,121.80, 22,251.40 and 10,149.46 is: 14,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,121.80 : 22,251.40 = 10,149.46 : x
  2. Step 2: Convert to fraction form
    16,121.80/22,251.40 = 10,149.46/x
  3. Step 3: Cross multiply
    16,121.80x = 22,251.40 × 10,149.46
  4. Step 4: Simplify right side
    16,121.80x = 225,839,694.24
  5. Step 5: Solve for x
    x = 225,839,694.24/16,121.80
  6. Step 6: Final answer
    x = 14,008.34

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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.