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Finding the Fourth Proportional to 20,685.85, 31,028.12 and 6,645.82

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Solution

The fourth proportional to 20,685.85, 31,028.12 and 6,645.82 is: 9,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,685.85 : 31,028.12 = 6,645.82 : x
  2. Step 2: Convert to fraction form
    20,685.85/31,028.12 = 6,645.82/x
  3. Step 3: Cross multiply
    20,685.85x = 31,028.12 × 6,645.82
  4. Step 4: Simplify right side
    20,685.85x = 206,207,267.23
  5. Step 5: Solve for x
    x = 206,207,267.23/20,685.85
  6. Step 6: Final answer
    x = 9,968.52

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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.