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Finding the Fourth Proportional to 13,838.11, 20,762.37 and 8,295.44

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Solution

The fourth proportional to 13,838.11, 20,762.37 and 8,295.44 is: 12,446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.11 : 20,762.37 = 8,295.44 : x
  2. Step 2: Convert to fraction form
    13,838.11/20,762.37 = 8,295.44/x
  3. Step 3: Cross multiply
    13,838.11x = 20,762.37 × 8,295.44
  4. Step 4: Simplify right side
    13,838.11x = 172,232,890.78
  5. Step 5: Solve for x
    x = 172,232,890.78/13,838.11
  6. Step 6: Final answer
    x = 12,446.27

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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.