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Finding the Fourth Proportional to 20,218.38, 30,315.77 and 7,739.25

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Solution

The fourth proportional to 20,218.38, 30,315.77 and 7,739.25 is: 11,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218.38 : 30,315.77 = 7,739.25 : x
  2. Step 2: Convert to fraction form
    20,218.38/30,315.77 = 7,739.25/x
  3. Step 3: Cross multiply
    20,218.38x = 30,315.77 × 7,739.25
  4. Step 4: Simplify right side
    20,218.38x = 234,621,199.61
  5. Step 5: Solve for x
    x = 234,621,199.61/20,218.38
  6. Step 6: Final answer
    x = 11,604.35

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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.