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Finding the Fourth Proportional to 12,096.50, 18,127.73 and 9,620.33

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Solution

The fourth proportional to 12,096.50, 18,127.73 and 9,620.33 is: 14,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.50 : 18,127.73 = 9,620.33 : x
  2. Step 2: Convert to fraction form
    12,096.50/18,127.73 = 9,620.33/x
  3. Step 3: Cross multiply
    12,096.50x = 18,127.73 × 9,620.33
  4. Step 4: Simplify right side
    12,096.50x = 174,394,606.01
  5. Step 5: Solve for x
    x = 174,394,606.01/12,096.50
  6. Step 6: Final answer
    x = 14,416.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.