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Finding the Fourth Proportional to 13,832.16, 19,086.72 and 7,863.84

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Solution

The fourth proportional to 13,832.16, 19,086.72 and 7,863.84 is: 10,851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.16 : 19,086.72 = 7,863.84 : x
  2. Step 2: Convert to fraction form
    13,832.16/19,086.72 = 7,863.84/x
  3. Step 3: Cross multiply
    13,832.16x = 19,086.72 × 7,863.84
  4. Step 4: Simplify right side
    13,832.16x = 150,094,912.20
  5. Step 5: Solve for x
    x = 150,094,912.20/13,832.16
  6. Step 6: Final answer
    x = 10,851.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.