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Finding the Fourth Proportional to 20,874.72, 31,238.16 and 12,980.95

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Solution

The fourth proportional to 20,874.72, 31,238.16 and 12,980.95 is: 19,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.72 : 31,238.16 = 12,980.95 : x
  2. Step 2: Convert to fraction form
    20,874.72/31,238.16 = 12,980.95/x
  3. Step 3: Cross multiply
    20,874.72x = 31,238.16 × 12,980.95
  4. Step 4: Simplify right side
    20,874.72x = 405,500,993.05
  5. Step 5: Solve for x
    x = 405,500,993.05/20,874.72
  6. Step 6: Final answer
    x = 19,425.46

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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.