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Finding the Fourth Proportional to 16,278.56, 22,464.38 and 9,205.13

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Solution

The fourth proportional to 16,278.56, 22,464.38 and 9,205.13 is: 12,703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.56 : 22,464.38 = 9,205.13 : x
  2. Step 2: Convert to fraction form
    16,278.56/22,464.38 = 9,205.13/x
  3. Step 3: Cross multiply
    16,278.56x = 22,464.38 × 9,205.13
  4. Step 4: Simplify right side
    16,278.56x = 206,787,379.92
  5. Step 5: Solve for x
    x = 206,787,379.92/16,278.56
  6. Step 6: Final answer
    x = 12,703.06

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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.