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Finding the Fourth Proportional to 23,944.56, 35,914.07 and 6,415.80

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Solution

The fourth proportional to 23,944.56, 35,914.07 and 6,415.80 is: 9,622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,944.56 : 35,914.07 = 6,415.80 : x
  2. Step 2: Convert to fraction form
    23,944.56/35,914.07 = 6,415.80/x
  3. Step 3: Cross multiply
    23,944.56x = 35,914.07 × 6,415.80
  4. Step 4: Simplify right side
    23,944.56x = 230,417,490.31
  5. Step 5: Solve for x
    x = 230,417,490.31/23,944.56
  6. Step 6: Final answer
    x = 9,622.96

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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.