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Finding the Fourth Proportional to 20,137.80, 30,143.82 and 12,731.16

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Solution

The fourth proportional to 20,137.80, 30,143.82 and 12,731.16 is: 19,056.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.80 : 30,143.82 = 12,731.16 : x
  2. Step 2: Convert to fraction form
    20,137.80/30,143.82 = 12,731.16/x
  3. Step 3: Cross multiply
    20,137.80x = 30,143.82 × 12,731.16
  4. Step 4: Simplify right side
    20,137.80x = 383,765,795.43
  5. Step 5: Solve for x
    x = 383,765,795.43/20,137.80
  6. Step 6: Final answer
    x = 19,056.99

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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.