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Finding the Fourth Proportional to 23,213.30, 34,824.94 and 7,414.62

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Solution

The fourth proportional to 23,213.30, 34,824.94 and 7,414.62 is: 11,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213.30 : 34,824.94 = 7,414.62 : x
  2. Step 2: Convert to fraction form
    23,213.30/34,824.94 = 7,414.62/x
  3. Step 3: Cross multiply
    23,213.30x = 34,824.94 × 7,414.62
  4. Step 4: Simplify right side
    23,213.30x = 258,213,696.62
  5. Step 5: Solve for x
    x = 258,213,696.62/23,213.30
  6. Step 6: Final answer
    x = 11,123.52

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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.