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Finding the Fourth Proportional to 21,221.75, 31,834.65 and 8,742.62

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Solution

The fourth proportional to 21,221.75, 31,834.65 and 8,742.62 is: 13,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221.75 : 31,834.65 = 8,742.62 : x
  2. Step 2: Convert to fraction form
    21,221.75/31,834.65 = 8,742.62/x
  3. Step 3: Cross multiply
    21,221.75x = 31,834.65 × 8,742.62
  4. Step 4: Simplify right side
    21,221.75x = 278,318,247.78
  5. Step 5: Solve for x
    x = 278,318,247.78/21,221.75
  6. Step 6: Final answer
    x = 13,114.76

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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.