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Finding the Fourth Proportional to 16,213.14, 22,374.12 and 8,761.14

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Solution

The fourth proportional to 16,213.14, 22,374.12 and 8,761.14 is: 12,090.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.14 : 22,374.12 = 8,761.14 : x
  2. Step 2: Convert to fraction form
    16,213.14/22,374.12 = 8,761.14/x
  3. Step 3: Cross multiply
    16,213.14x = 22,374.12 × 8,761.14
  4. Step 4: Simplify right side
    16,213.14x = 196,022,797.70
  5. Step 5: Solve for x
    x = 196,022,797.70/16,213.14
  6. Step 6: Final answer
    x = 12,090.37

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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.