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Finding the Fourth Proportional to 23,251.73, 34,884.89 and 7,680.29

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Solution

The fourth proportional to 23,251.73, 34,884.89 and 7,680.29 is: 11,522.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,251.73 : 34,884.89 = 7,680.29 : x
  2. Step 2: Convert to fraction form
    23,251.73/34,884.89 = 7,680.29/x
  3. Step 3: Cross multiply
    23,251.73x = 34,884.89 × 7,680.29
  4. Step 4: Simplify right side
    23,251.73x = 267,926,071.82
  5. Step 5: Solve for x
    x = 267,926,071.82/23,251.73
  6. Step 6: Final answer
    x = 11,522.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.