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Finding the Fourth Proportional to 16,208, 22,366.84 and 9,134.48

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Solution

The fourth proportional to 16,208, 22,366.84 and 9,134.48 is: 12,605.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208 : 22,366.84 = 9,134.48 : x
  2. Step 2: Convert to fraction form
    16,208/22,366.84 = 9,134.48/x
  3. Step 3: Cross multiply
    16,208x = 22,366.84 × 9,134.48
  4. Step 4: Simplify right side
    16,208x = 204,309,452.64
  5. Step 5: Solve for x
    x = 204,309,452.64/16,208
  6. Step 6: Final answer
    x = 12,605.47

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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.