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Finding the Fourth Proportional to 20,137.80, 30,217.54 and 11,834.02

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Solution

The fourth proportional to 20,137.80, 30,217.54 and 11,834.02 is: 17,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.80 : 30,217.54 = 11,834.02 : x
  2. Step 2: Convert to fraction form
    20,137.80/30,217.54 = 11,834.02/x
  3. Step 3: Cross multiply
    20,137.80x = 30,217.54 × 11,834.02
  4. Step 4: Simplify right side
    20,137.80x = 357,594,972.71
  5. Step 5: Solve for x
    x = 357,594,972.71/20,137.80
  6. Step 6: Final answer
    x = 17,757.40

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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.