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Finding the Fourth Proportional to 20,138.40, 30,207.60 and 9,751.20

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Solution

The fourth proportional to 20,138.40, 30,207.60 and 9,751.20 is: 14,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.40 : 30,207.60 = 9,751.20 : x
  2. Step 2: Convert to fraction form
    20,138.40/30,207.60 = 9,751.20/x
  3. Step 3: Cross multiply
    20,138.40x = 30,207.60 × 9,751.20
  4. Step 4: Simplify right side
    20,138.40x = 294,560,349.12
  5. Step 5: Solve for x
    x = 294,560,349.12/20,138.40
  6. Step 6: Final answer
    x = 14,626.80

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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.