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Finding the Fourth Proportional to 21,523.30, 32,286.80 and 5,940.92

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Solution

The fourth proportional to 21,523.30, 32,286.80 and 5,940.92 is: 8,911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523.30 : 32,286.80 = 5,940.92 : x
  2. Step 2: Convert to fraction form
    21,523.30/32,286.80 = 5,940.92/x
  3. Step 3: Cross multiply
    21,523.30x = 32,286.80 × 5,940.92
  4. Step 4: Simplify right side
    21,523.30x = 191,813,391.43
  5. Step 5: Solve for x
    x = 191,813,391.43/21,523.30
  6. Step 6: Final answer
    x = 8,911.90

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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.