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Finding the Fourth Proportional to 11,632.32, 17,449.84 and 3,846.24

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Solution

The fourth proportional to 11,632.32, 17,449.84 and 3,846.24 is: 5,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.32 : 17,449.84 = 3,846.24 : x
  2. Step 2: Convert to fraction form
    11,632.32/17,449.84 = 3,846.24/x
  3. Step 3: Cross multiply
    11,632.32x = 17,449.84 × 3,846.24
  4. Step 4: Simplify right side
    11,632.32x = 67,116,272.60
  5. Step 5: Solve for x
    x = 67,116,272.60/11,632.32
  6. Step 6: Final answer
    x = 5,769.81

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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.