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Finding the Fourth Proportional to 13,905.42, 20,858.04 and 3,517.20

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Solution

The fourth proportional to 13,905.42, 20,858.04 and 3,517.20 is: 5,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905.42 : 20,858.04 = 3,517.20 : x
  2. Step 2: Convert to fraction form
    13,905.42/20,858.04 = 3,517.20/x
  3. Step 3: Cross multiply
    13,905.42x = 20,858.04 × 3,517.20
  4. Step 4: Simplify right side
    13,905.42x = 73,361,898.29
  5. Step 5: Solve for x
    x = 73,361,898.29/13,905.42
  6. Step 6: Final answer
    x = 5,275.78

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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.