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Finding the Fourth Proportional to 13,887.19, 20,832.12 and 3,891.94

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Solution

The fourth proportional to 13,887.19, 20,832.12 and 3,891.94 is: 5,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.19 : 20,832.12 = 3,891.94 : x
  2. Step 2: Convert to fraction form
    13,887.19/20,832.12 = 3,891.94/x
  3. Step 3: Cross multiply
    13,887.19x = 20,832.12 × 3,891.94
  4. Step 4: Simplify right side
    13,887.19x = 81,077,361.11
  5. Step 5: Solve for x
    x = 81,077,361.11/13,887.19
  6. Step 6: Final answer
    x = 5,838.28

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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.