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Finding the Fourth Proportional to 21,892.22, 30,212.43 and 12,463.82

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Solution

The fourth proportional to 21,892.22, 30,212.43 and 12,463.82 is: 17,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892.22 : 30,212.43 = 12,463.82 : x
  2. Step 2: Convert to fraction form
    21,892.22/30,212.43 = 12,463.82/x
  3. Step 3: Cross multiply
    21,892.22x = 30,212.43 × 12,463.82
  4. Step 4: Simplify right side
    21,892.22x = 376,562,289.28
  5. Step 5: Solve for x
    x = 376,562,289.28/21,892.22
  6. Step 6: Final answer
    x = 17,200.74

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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.