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Finding the Fourth Proportional to 16,037, 22,131.46 and 8,964.60

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Solution

The fourth proportional to 16,037, 22,131.46 and 8,964.60 is: 12,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,037 : 22,131.46 = 8,964.60 : x
  2. Step 2: Convert to fraction form
    16,037/22,131.46 = 8,964.60/x
  3. Step 3: Cross multiply
    16,037x = 22,131.46 × 8,964.60
  4. Step 4: Simplify right side
    16,037x = 198,399,686.32
  5. Step 5: Solve for x
    x = 198,399,686.32/16,037
  6. Step 6: Final answer
    x = 12,371.37

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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.