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Finding the Fourth Proportional to 13,384.10, 20,076.08 and 3,388.94

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Solution

The fourth proportional to 13,384.10, 20,076.08 and 3,388.94 is: 5,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.10 : 20,076.08 = 3,388.94 : x
  2. Step 2: Convert to fraction form
    13,384.10/20,076.08 = 3,388.94/x
  3. Step 3: Cross multiply
    13,384.10x = 20,076.08 × 3,388.94
  4. Step 4: Simplify right side
    13,384.10x = 68,036,630.56
  5. Step 5: Solve for x
    x = 68,036,630.56/13,384.10
  6. Step 6: Final answer
    x = 5,083.39

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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.