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Finding the Fourth Proportional to 20,518.70, 30,777.60 and 5,727.20

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Solution

The fourth proportional to 20,518.70, 30,777.60 and 5,727.20 is: 8,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,518.70 : 30,777.60 = 5,727.20 : x
  2. Step 2: Convert to fraction form
    20,518.70/30,777.60 = 5,727.20/x
  3. Step 3: Cross multiply
    20,518.70x = 30,777.60 × 5,727.20
  4. Step 4: Simplify right side
    20,518.70x = 176,269,470.72
  5. Step 5: Solve for x
    x = 176,269,470.72/20,518.70
  6. Step 6: Final answer
    x = 8,590.67

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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.