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Finding the Fourth Proportional to 13,898.82, 20,851.34 and 5,466.14

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Solution

The fourth proportional to 13,898.82, 20,851.34 and 5,466.14 is: 8,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.82 : 20,851.34 = 5,466.14 : x
  2. Step 2: Convert to fraction form
    13,898.82/20,851.34 = 5,466.14/x
  3. Step 3: Cross multiply
    13,898.82x = 20,851.34 × 5,466.14
  4. Step 4: Simplify right side
    13,898.82x = 113,976,212.04
  5. Step 5: Solve for x
    x = 113,976,212.04/13,898.82
  6. Step 6: Final answer
    x = 8,200.42

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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.