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Finding the Fourth Proportional to 13,801.17, 20,705.20 and 5,478.43

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Solution

The fourth proportional to 13,801.17, 20,705.20 and 5,478.43 is: 8,219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.17 : 20,705.20 = 5,478.43 : x
  2. Step 2: Convert to fraction form
    13,801.17/20,705.20 = 5,478.43/x
  3. Step 3: Cross multiply
    13,801.17x = 20,705.20 × 5,478.43
  4. Step 4: Simplify right side
    13,801.17x = 113,431,961.44
  5. Step 5: Solve for x
    x = 113,431,961.44/13,801.17
  6. Step 6: Final answer
    x = 8,219.01

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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.