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Finding the Fourth Proportional to 13,851.36, 20,778.36 and 4,492.44

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Solution

The fourth proportional to 13,851.36, 20,778.36 and 4,492.44 is: 6,739.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.36 : 20,778.36 = 4,492.44 : x
  2. Step 2: Convert to fraction form
    13,851.36/20,778.36 = 4,492.44/x
  3. Step 3: Cross multiply
    13,851.36x = 20,778.36 × 4,492.44
  4. Step 4: Simplify right side
    13,851.36x = 93,345,535.60
  5. Step 5: Solve for x
    x = 93,345,535.60/13,851.36
  6. Step 6: Final answer
    x = 6,739.09

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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.