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Finding the Fourth Proportional to 15,744.24, 23,630.92 and 7,958.56

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Solution

The fourth proportional to 15,744.24, 23,630.92 and 7,958.56 is: 11,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.24 : 23,630.92 = 7,958.56 : x
  2. Step 2: Convert to fraction form
    15,744.24/23,630.92 = 7,958.56/x
  3. Step 3: Cross multiply
    15,744.24x = 23,630.92 × 7,958.56
  4. Step 4: Simplify right side
    15,744.24x = 188,068,094.68
  5. Step 5: Solve for x
    x = 188,068,094.68/15,744.24
  6. Step 6: Final answer
    x = 11,945.20

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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.