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Finding the Fourth Proportional to 23,550.75, 35,331.32 and 7,760.64

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Solution

The fourth proportional to 23,550.75, 35,331.32 and 7,760.64 is: 11,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,550.75 : 35,331.32 = 7,760.64 : x
  2. Step 2: Convert to fraction form
    23,550.75/35,331.32 = 7,760.64/x
  3. Step 3: Cross multiply
    23,550.75x = 35,331.32 × 7,760.64
  4. Step 4: Simplify right side
    23,550.75x = 274,193,807.14
  5. Step 5: Solve for x
    x = 274,193,807.14/23,550.75
  6. Step 6: Final answer
    x = 11,642.68

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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.