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Finding the Fourth Proportional to 17,912.20, 24,714.92 and 10,838.48

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Solution

The fourth proportional to 17,912.20, 24,714.92 and 10,838.48 is: 14,954.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,912.20 : 24,714.92 = 10,838.48 : x
  2. Step 2: Convert to fraction form
    17,912.20/24,714.92 = 10,838.48/x
  3. Step 3: Cross multiply
    17,912.20x = 24,714.92 × 10,838.48
  4. Step 4: Simplify right side
    17,912.20x = 267,872,166.12
  5. Step 5: Solve for x
    x = 267,872,166.12/17,912.20
  6. Step 6: Final answer
    x = 14,954.73

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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.