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Finding the Fourth Proportional to 16,784.40, 23,162.01 and 9,230.73

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Solution

The fourth proportional to 16,784.40, 23,162.01 and 9,230.73 is: 12,738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784.40 : 23,162.01 = 9,230.73 : x
  2. Step 2: Convert to fraction form
    16,784.40/23,162.01 = 9,230.73/x
  3. Step 3: Cross multiply
    16,784.40x = 23,162.01 × 9,230.73
  4. Step 4: Simplify right side
    16,784.40x = 213,802,260.57
  5. Step 5: Solve for x
    x = 213,802,260.57/16,784.40
  6. Step 6: Final answer
    x = 12,738.15

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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.