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Finding the Fourth Proportional to 23,072.40, 34,621.92 and 9,744.30

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Solution

The fourth proportional to 23,072.40, 34,621.92 and 9,744.30 is: 14,622.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,072.40 : 34,621.92 = 9,744.30 : x
  2. Step 2: Convert to fraction form
    23,072.40/34,621.92 = 9,744.30/x
  3. Step 3: Cross multiply
    23,072.40x = 34,621.92 × 9,744.30
  4. Step 4: Simplify right side
    23,072.40x = 337,366,375.06
  5. Step 5: Solve for x
    x = 337,366,375.06/23,072.40
  6. Step 6: Final answer
    x = 14,622.08

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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.