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Finding the Fourth Proportional to 20,682.62, 31,029.14 and 6,643.90

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Solution

The fourth proportional to 20,682.62, 31,029.14 and 6,643.90 is: 9,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682.62 : 31,029.14 = 6,643.90 : x
  2. Step 2: Convert to fraction form
    20,682.62/31,029.14 = 6,643.90/x
  3. Step 3: Cross multiply
    20,682.62x = 31,029.14 × 6,643.90
  4. Step 4: Simplify right side
    20,682.62x = 206,154,503.25
  5. Step 5: Solve for x
    x = 206,154,503.25/20,682.62
  6. Step 6: Final answer
    x = 9,967.52

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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.