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Finding the Fourth Proportional to 13,847.16, 19,112.34 and 7,882.02

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Solution

The fourth proportional to 13,847.16, 19,112.34 and 7,882.02 is: 10,879.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.16 : 19,112.34 = 7,882.02 : x
  2. Step 2: Convert to fraction form
    13,847.16/19,112.34 = 7,882.02/x
  3. Step 3: Cross multiply
    13,847.16x = 19,112.34 × 7,882.02
  4. Step 4: Simplify right side
    13,847.16x = 150,643,846.13
  5. Step 5: Solve for x
    x = 150,643,846.13/13,847.16
  6. Step 6: Final answer
    x = 10,879.04

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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.