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Finding the Fourth Proportional to 16,276.64, 22,463.26 and 10,227.87

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Solution

The fourth proportional to 16,276.64, 22,463.26 and 10,227.87 is: 14,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.64 : 22,463.26 = 10,227.87 : x
  2. Step 2: Convert to fraction form
    16,276.64/22,463.26 = 10,227.87/x
  3. Step 3: Cross multiply
    16,276.64x = 22,463.26 × 10,227.87
  4. Step 4: Simplify right side
    16,276.64x = 229,751,139.60
  5. Step 5: Solve for x
    x = 229,751,139.60/16,276.64
  6. Step 6: Final answer
    x = 14,115.39

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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.