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Finding the Fourth Proportional to 23,540.49, 35,313.07 and 7,739.12

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Solution

The fourth proportional to 23,540.49, 35,313.07 and 7,739.12 is: 11,609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,540.49 : 35,313.07 = 7,739.12 : x
  2. Step 2: Convert to fraction form
    23,540.49/35,313.07 = 7,739.12/x
  3. Step 3: Cross multiply
    23,540.49x = 35,313.07 × 7,739.12
  4. Step 4: Simplify right side
    23,540.49x = 273,292,086.30
  5. Step 5: Solve for x
    x = 273,292,086.30/23,540.49
  6. Step 6: Final answer
    x = 11,609.45

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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.