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Finding the Fourth Proportional to 13,877.10, 20,825.73 and 5,444.82

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Solution

The fourth proportional to 13,877.10, 20,825.73 and 5,444.82 is: 8,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.10 : 20,825.73 = 5,444.82 : x
  2. Step 2: Convert to fraction form
    13,877.10/20,825.73 = 5,444.82/x
  3. Step 3: Cross multiply
    13,877.10x = 20,825.73 × 5,444.82
  4. Step 4: Simplify right side
    13,877.10x = 113,392,351.22
  5. Step 5: Solve for x
    x = 113,392,351.22/13,877.10
  6. Step 6: Final answer
    x = 8,171.18

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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.