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Finding the Fourth Proportional to 20,207.60, 30,299.50 and 7,728.54

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Solution

The fourth proportional to 20,207.60, 30,299.50 and 7,728.54 is: 11,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,207.60 : 30,299.50 = 7,728.54 : x
  2. Step 2: Convert to fraction form
    20,207.60/30,299.50 = 7,728.54/x
  3. Step 3: Cross multiply
    20,207.60x = 30,299.50 × 7,728.54
  4. Step 4: Simplify right side
    20,207.60x = 234,170,793.77
  5. Step 5: Solve for x
    x = 234,170,793.77/20,207.60
  6. Step 6: Final answer
    x = 11,588.25

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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.