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Finding the Fourth Proportional to 20,675.90, 31,024.10 and 8,195.65

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Solution

The fourth proportional to 20,675.90, 31,024.10 and 8,195.65 is: 12,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,675.90 : 31,024.10 = 8,195.65 : x
  2. Step 2: Convert to fraction form
    20,675.90/31,024.10 = 8,195.65/x
  3. Step 3: Cross multiply
    20,675.90x = 31,024.10 × 8,195.65
  4. Step 4: Simplify right side
    20,675.90x = 254,262,665.17
  5. Step 5: Solve for x
    x = 254,262,665.17/20,675.90
  6. Step 6: Final answer
    x = 12,297.54

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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.