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Finding the Fourth Proportional to 17,912.34, 24,705.62 and 10,829.70

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Solution

The fourth proportional to 17,912.34, 24,705.62 and 10,829.70 is: 14,936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,912.34 : 24,705.62 = 10,829.70 : x
  2. Step 2: Convert to fraction form
    17,912.34/24,705.62 = 10,829.70/x
  3. Step 3: Cross multiply
    17,912.34x = 24,705.62 × 10,829.70
  4. Step 4: Simplify right side
    17,912.34x = 267,554,452.91
  5. Step 5: Solve for x
    x = 267,554,452.91/17,912.34
  6. Step 6: Final answer
    x = 14,936.88

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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.