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Finding the Fourth Proportional to 12,797.86, 17,657.61 and 7,694.86

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Solution

The fourth proportional to 12,797.86, 17,657.61 and 7,694.86 is: 10,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.86 : 17,657.61 = 7,694.86 : x
  2. Step 2: Convert to fraction form
    12,797.86/17,657.61 = 7,694.86/x
  3. Step 3: Cross multiply
    12,797.86x = 17,657.61 × 7,694.86
  4. Step 4: Simplify right side
    12,797.86x = 135,872,836.88
  5. Step 5: Solve for x
    x = 135,872,836.88/12,797.86
  6. Step 6: Final answer
    x = 10,616.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.