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Finding the Fourth Proportional to 16,463, 22,719 and 9,011

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Solution

The fourth proportional to 16,463, 22,719 and 9,011 is: 12,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,463 : 22,719 = 9,011 : x
  2. Step 2: Convert to fraction form
    16,463/22,719 = 9,011/x
  3. Step 3: Cross multiply
    16,463x = 22,719 × 9,011
  4. Step 4: Simplify right side
    16,463x = 204,720,909
  5. Step 5: Solve for x
    x = 204,720,909/16,463
  6. Step 6: Final answer
    x = 12,435.21

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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.