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Finding the Fourth Proportional to 12,822.44, 17,694.90 and 7,156.86

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Solution

The fourth proportional to 12,822.44, 17,694.90 and 7,156.86 is: 9,876.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.44 : 17,694.90 = 7,156.86 : x
  2. Step 2: Convert to fraction form
    12,822.44/17,694.90 = 7,156.86/x
  3. Step 3: Cross multiply
    12,822.44x = 17,694.90 × 7,156.86
  4. Step 4: Simplify right side
    12,822.44x = 126,639,922.01
  5. Step 5: Solve for x
    x = 126,639,922.01/12,822.44
  6. Step 6: Final answer
    x = 9,876.43

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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.