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Finding the Fourth Proportional to 20,684.85, 31,026.62 and 6,644.82

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Solution

The fourth proportional to 20,684.85, 31,026.62 and 6,644.82 is: 9,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.85 : 31,026.62 = 6,644.82 : x
  2. Step 2: Convert to fraction form
    20,684.85/31,026.62 = 6,644.82/x
  3. Step 3: Cross multiply
    20,684.85x = 31,026.62 × 6,644.82
  4. Step 4: Simplify right side
    20,684.85x = 206,166,271.88
  5. Step 5: Solve for x
    x = 206,166,271.88/20,684.85
  6. Step 6: Final answer
    x = 9,967.02

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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.