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Finding the Fourth Proportional to 20,780.70, 31,147.90 and 8,297.52

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Solution

The fourth proportional to 20,780.70, 31,147.90 and 8,297.52 is: 12,437.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,780.70 : 31,147.90 = 8,297.52 : x
  2. Step 2: Convert to fraction form
    20,780.70/31,147.90 = 8,297.52/x
  3. Step 3: Cross multiply
    20,780.70x = 31,147.90 × 8,297.52
  4. Step 4: Simplify right side
    20,780.70x = 258,450,323.21
  5. Step 5: Solve for x
    x = 258,450,323.21/20,780.70
  6. Step 6: Final answer
    x = 12,437.04

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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.