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Finding the Fourth Proportional to 16,784.62, 23,162.45 and 9,230.85

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Solution

The fourth proportional to 16,784.62, 23,162.45 and 9,230.85 is: 12,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784.62 : 23,162.45 = 9,230.85 : x
  2. Step 2: Convert to fraction form
    16,784.62/23,162.45 = 9,230.85/x
  3. Step 3: Cross multiply
    16,784.62x = 23,162.45 × 9,230.85
  4. Step 4: Simplify right side
    16,784.62x = 213,809,055.43
  5. Step 5: Solve for x
    x = 213,809,055.43/16,784.62
  6. Step 6: Final answer
    x = 12,738.39

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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.