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Finding the Fourth Proportional to 20,167.42, 27,834.48 and 11,674.75

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Solution

The fourth proportional to 20,167.42, 27,834.48 and 11,674.75 is: 16,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167.42 : 27,834.48 = 11,674.75 : x
  2. Step 2: Convert to fraction form
    20,167.42/27,834.48 = 11,674.75/x
  3. Step 3: Cross multiply
    20,167.42x = 27,834.48 × 11,674.75
  4. Step 4: Simplify right side
    20,167.42x = 324,960,595.38
  5. Step 5: Solve for x
    x = 324,960,595.38/20,167.42
  6. Step 6: Final answer
    x = 16,113.15

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Why These Related Problems?

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