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Finding the Fourth Proportional to 17,102.09, 25,662.02 and 12,940.86

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Solution

The fourth proportional to 17,102.09, 25,662.02 and 12,940.86 is: 19,418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.09 : 25,662.02 = 12,940.86 : x
  2. Step 2: Convert to fraction form
    17,102.09/25,662.02 = 12,940.86/x
  3. Step 3: Cross multiply
    17,102.09x = 25,662.02 × 12,940.86
  4. Step 4: Simplify right side
    17,102.09x = 332,088,608.14
  5. Step 5: Solve for x
    x = 332,088,608.14/17,102.09
  6. Step 6: Final answer
    x = 19,418.01

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