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Finding the Fourth Proportional to 21,241.80, 31,876.56 and 8,094.29

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Solution

The fourth proportional to 21,241.80, 31,876.56 and 8,094.29 is: 12,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,241.80 : 31,876.56 = 8,094.29 : x
  2. Step 2: Convert to fraction form
    21,241.80/31,876.56 = 8,094.29/x
  3. Step 3: Cross multiply
    21,241.80x = 31,876.56 × 8,094.29
  4. Step 4: Simplify right side
    21,241.80x = 258,017,961.46
  5. Step 5: Solve for x
    x = 258,017,961.46/21,241.80
  6. Step 6: Final answer
    x = 12,146.71

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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.