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Finding the Fourth Proportional to 19,661.86, 29,497.83 and 6,517.90

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Solution

The fourth proportional to 19,661.86, 29,497.83 and 6,517.90 is: 9,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,661.86 : 29,497.83 = 6,517.90 : x
  2. Step 2: Convert to fraction form
    19,661.86/29,497.83 = 6,517.90/x
  3. Step 3: Cross multiply
    19,661.86x = 29,497.83 × 6,517.90
  4. Step 4: Simplify right side
    19,661.86x = 192,263,906.16
  5. Step 5: Solve for x
    x = 192,263,906.16/19,661.86
  6. Step 6: Final answer
    x = 9,778.52

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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.