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Finding the Fourth Proportional to 23,811.50, 35,724.22 and 10,660.94

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Solution

The fourth proportional to 23,811.50, 35,724.22 and 10,660.94 is: 15,994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.50 : 35,724.22 = 10,660.94 : x
  2. Step 2: Convert to fraction form
    23,811.50/35,724.22 = 10,660.94/x
  3. Step 3: Cross multiply
    23,811.50x = 35,724.22 × 10,660.94
  4. Step 4: Simplify right side
    23,811.50x = 380,853,765.97
  5. Step 5: Solve for x
    x = 380,853,765.97/23,811.50
  6. Step 6: Final answer
    x = 15,994.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.