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Finding the Fourth Proportional to 20,829.84, 31,245.12 and 7,675.44

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Solution

The fourth proportional to 20,829.84, 31,245.12 and 7,675.44 is: 11,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,829.84 : 31,245.12 = 7,675.44 : x
  2. Step 2: Convert to fraction form
    20,829.84/31,245.12 = 7,675.44/x
  3. Step 3: Cross multiply
    20,829.84x = 31,245.12 × 7,675.44
  4. Step 4: Simplify right side
    20,829.84x = 239,820,043.85
  5. Step 5: Solve for x
    x = 239,820,043.85/20,829.84
  6. Step 6: Final answer
    x = 11,513.29

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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.