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Finding the Fourth Proportional to 16,076.92, 22,184.36 and 9,003.18

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Solution

The fourth proportional to 16,076.92, 22,184.36 and 9,003.18 is: 12,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.92 : 22,184.36 = 9,003.18 : x
  2. Step 2: Convert to fraction form
    16,076.92/22,184.36 = 9,003.18/x
  3. Step 3: Cross multiply
    16,076.92x = 22,184.36 × 9,003.18
  4. Step 4: Simplify right side
    16,076.92x = 199,729,786.26
  5. Step 5: Solve for x
    x = 199,729,786.26/16,076.92
  6. Step 6: Final answer
    x = 12,423.39

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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.