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Finding the Fourth Proportional to 11,706.72, 17,475.25 and 10,839.62

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Solution

The fourth proportional to 11,706.72, 17,475.25 and 10,839.62 is: 16,180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.72 : 17,475.25 = 10,839.62 : x
  2. Step 2: Convert to fraction form
    11,706.72/17,475.25 = 10,839.62/x
  3. Step 3: Cross multiply
    11,706.72x = 17,475.25 × 10,839.62
  4. Step 4: Simplify right side
    11,706.72x = 189,425,015.21
  5. Step 5: Solve for x
    x = 189,425,015.21/11,706.72
  6. Step 6: Final answer
    x = 16,180.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.