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Finding the Fourth Proportional to 23,409.96, 35,116.56 and 7,825.56

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Solution

The fourth proportional to 23,409.96, 35,116.56 and 7,825.56 is: 11,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409.96 : 35,116.56 = 7,825.56 : x
  2. Step 2: Convert to fraction form
    23,409.96/35,116.56 = 7,825.56/x
  3. Step 3: Cross multiply
    23,409.96x = 35,116.56 × 7,825.56
  4. Step 4: Simplify right side
    23,409.96x = 274,806,747.27
  5. Step 5: Solve for x
    x = 274,806,747.27/23,409.96
  6. Step 6: Final answer
    x = 11,738.88

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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.