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Finding the Fourth Proportional to 20,509.83, 30,765.96 and 5,519.16

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Solution

The fourth proportional to 20,509.83, 30,765.96 and 5,519.16 is: 8,279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.83 : 30,765.96 = 5,519.16 : x
  2. Step 2: Convert to fraction form
    20,509.83/30,765.96 = 5,519.16/x
  3. Step 3: Cross multiply
    20,509.83x = 30,765.96 × 5,519.16
  4. Step 4: Simplify right side
    20,509.83x = 169,802,255.79
  5. Step 5: Solve for x
    x = 169,802,255.79/20,509.83
  6. Step 6: Final answer
    x = 8,279.07

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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.