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Finding the Fourth Proportional to 20,830.80, 31,249.16 and 7,682.15

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Solution

The fourth proportional to 20,830.80, 31,249.16 and 7,682.15 is: 11,524.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830.80 : 31,249.16 = 7,682.15 : x
  2. Step 2: Convert to fraction form
    20,830.80/31,249.16 = 7,682.15/x
  3. Step 3: Cross multiply
    20,830.80x = 31,249.16 × 7,682.15
  4. Step 4: Simplify right side
    20,830.80x = 240,060,734.49
  5. Step 5: Solve for x
    x = 240,060,734.49/20,830.80
  6. Step 6: Final answer
    x = 11,524.32

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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.