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Finding the Fourth Proportional to 12,381.12, 17,091 and 9,231.84

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Solution

The fourth proportional to 12,381.12, 17,091 and 9,231.84 is: 12,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.12 : 17,091 = 9,231.84 : x
  2. Step 2: Convert to fraction form
    12,381.12/17,091 = 9,231.84/x
  3. Step 3: Cross multiply
    12,381.12x = 17,091 × 9,231.84
  4. Step 4: Simplify right side
    12,381.12x = 157,781,377.44
  5. Step 5: Solve for x
    x = 157,781,377.44/12,381.12
  6. Step 6: Final answer
    x = 12,743.71

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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.