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Finding the Fourth Proportional to 21,892.50, 30,211.68 and 12,461.06

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Solution

The fourth proportional to 21,892.50, 30,211.68 and 12,461.06 is: 17,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892.50 : 30,211.68 = 12,461.06 : x
  2. Step 2: Convert to fraction form
    21,892.50/30,211.68 = 12,461.06/x
  3. Step 3: Cross multiply
    21,892.50x = 30,211.68 × 12,461.06
  4. Step 4: Simplify right side
    21,892.50x = 376,469,679.44
  5. Step 5: Solve for x
    x = 376,469,679.44/21,892.50
  6. Step 6: Final answer
    x = 17,196.29

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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.