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Finding the Fourth Proportional to 22,965.88, 31,684.98 and 12,892.92

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Solution

The fourth proportional to 22,965.88, 31,684.98 and 12,892.92 is: 17,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.88 : 31,684.98 = 12,892.92 : x
  2. Step 2: Convert to fraction form
    22,965.88/31,684.98 = 12,892.92/x
  3. Step 3: Cross multiply
    22,965.88x = 31,684.98 × 12,892.92
  4. Step 4: Simplify right side
    22,965.88x = 408,511,912.34
  5. Step 5: Solve for x
    x = 408,511,912.34/22,965.88
  6. Step 6: Final answer
    x = 17,787.78

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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.