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Finding the Fourth Proportional to 13,832.62, 20,738.86 and 5,510.14

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Solution

The fourth proportional to 13,832.62, 20,738.86 and 5,510.14 is: 8,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.62 : 20,738.86 = 5,510.14 : x
  2. Step 2: Convert to fraction form
    13,832.62/20,738.86 = 5,510.14/x
  3. Step 3: Cross multiply
    13,832.62x = 20,738.86 × 5,510.14
  4. Step 4: Simplify right side
    13,832.62x = 114,274,022.04
  5. Step 5: Solve for x
    x = 114,274,022.04/13,832.62
  6. Step 6: Final answer
    x = 8,261.20

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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.