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Finding the Fourth Proportional to 12,823.46, 17,694.37 and 7,157.91

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Solution

The fourth proportional to 12,823.46, 17,694.37 and 7,157.91 is: 9,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.46 : 17,694.37 = 7,157.91 : x
  2. Step 2: Convert to fraction form
    12,823.46/17,694.37 = 7,157.91/x
  3. Step 3: Cross multiply
    12,823.46x = 17,694.37 × 7,157.91
  4. Step 4: Simplify right side
    12,823.46x = 126,654,690.07
  5. Step 5: Solve for x
    x = 126,654,690.07/12,823.46
  6. Step 6: Final answer
    x = 9,876.80

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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.