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Finding the Fourth Proportional to 21,893.67, 30,214.80 and 12,462.23

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Solution

The fourth proportional to 21,893.67, 30,214.80 and 12,462.23 is: 17,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,893.67 : 30,214.80 = 12,462.23 : x
  2. Step 2: Convert to fraction form
    21,893.67/30,214.80 = 12,462.23/x
  3. Step 3: Cross multiply
    21,893.67x = 30,214.80 × 12,462.23
  4. Step 4: Simplify right side
    21,893.67x = 376,543,573.62
  5. Step 5: Solve for x
    x = 376,543,573.62/21,893.67
  6. Step 6: Final answer
    x = 17,198.75

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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.