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Finding the Fourth Proportional to 20,170.66, 27,834.68 and 11,217.50

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Solution

The fourth proportional to 20,170.66, 27,834.68 and 11,217.50 is: 15,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170.66 : 27,834.68 = 11,217.50 : x
  2. Step 2: Convert to fraction form
    20,170.66/27,834.68 = 11,217.50/x
  3. Step 3: Cross multiply
    20,170.66x = 27,834.68 × 11,217.50
  4. Step 4: Simplify right side
    20,170.66x = 312,235,522.90
  5. Step 5: Solve for x
    x = 312,235,522.90/20,170.66
  6. Step 6: Final answer
    x = 15,479.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.