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Finding the Fourth Proportional to 20,118.56, 30,138.60 and 13,172

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Solution

The fourth proportional to 20,118.56, 30,138.60 and 13,172 is: 19,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,118.56 : 30,138.60 = 13,172 : x
  2. Step 2: Convert to fraction form
    20,118.56/30,138.60 = 13,172/x
  3. Step 3: Cross multiply
    20,118.56x = 30,138.60 × 13,172
  4. Step 4: Simplify right side
    20,118.56x = 396,985,639.20
  5. Step 5: Solve for x
    x = 396,985,639.20/20,118.56
  6. Step 6: Final answer
    x = 19,732.31

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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.