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Finding the Fourth Proportional to 23,504.29, 35,231.67 and 7,705.20

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Solution

The fourth proportional to 23,504.29, 35,231.67 and 7,705.20 is: 11,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,504.29 : 35,231.67 = 7,705.20 : x
  2. Step 2: Convert to fraction form
    23,504.29/35,231.67 = 7,705.20/x
  3. Step 3: Cross multiply
    23,504.29x = 35,231.67 × 7,705.20
  4. Step 4: Simplify right side
    23,504.29x = 271,467,107.55
  5. Step 5: Solve for x
    x = 271,467,107.55/23,504.29
  6. Step 6: Final answer
    x = 11,549.68

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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.