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Finding the Fourth Proportional to 17,104.86, 25,655.47 and 8,096.83

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Solution

The fourth proportional to 17,104.86, 25,655.47 and 8,096.83 is: 12,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,104.86 : 25,655.47 = 8,096.83 : x
  2. Step 2: Convert to fraction form
    17,104.86/25,655.47 = 8,096.83/x
  3. Step 3: Cross multiply
    17,104.86x = 25,655.47 × 8,096.83
  4. Step 4: Simplify right side
    17,104.86x = 207,727,894.78
  5. Step 5: Solve for x
    x = 207,727,894.78/17,104.86
  6. Step 6: Final answer
    x = 12,144.38

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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.